69,316 questions

62,802 answers

839 comments

14,715 users

MathHomeworkAnswers.org is a free math help site for student, teachers and math enthusiasts. Ask and answer math questions in algebra I, algebra II, geometry, trigonometry, calculus, statistics, word problems and more. Register for free and earn points for questions, answers and posts. Math help is always 100% free.

Note: This site is intended to help students and non-students understand and practice math. we do not condone cheating. Users attempting to abuse the system will be permanently blocked from further use.

Most popular tags

algebra problems solving equations word problems calculating percentages geometry problems calculus problems fraction problems math trigonometry problems simplifying expressions solve for x rounding numbers order of operations pre algebra problems evaluate the expression slope intercept form algebra factoring math problem probability please help me to answer this step by step. polynomials statistics problems how to find y intercept solving inequalities algebra 2 problems equation of a line logarithmic equations solving systems of equations by substitution please answer this queastion as soon as possible. thank you :) dividing fractions sequences and series help word problem graphing linear equations greatest common factor geometric shapes plz. give this answer as soon as possible square roots substitution method factoring polynomials least common multiple long division solving systems of equations 6th grade math http: mathhomeworkanswers.org ask# solving equations with fractions function of x ratio and proportion trig identity standard form of an equation proving trigonometric identities least to greatest solving equations with variables on both sides algebra problem dividing decimals slope of a line through 2 points solving systems of equations by elimination domain of a function precalculus problems college algebra help me trinomial factoring algebraic expressions solving quadratic equations distributive property perimeter of a rectangle factors of a number help me!! i need help with this slope of a line fraction word problems limit of a function equivalent fractions 8th grade math exponents differentiation how to find x intercept division area of a triangle differential equation elimination method algebra 1 hw help asap geometry 10th grade inverse function simplifying fractions . greater than or less than integral 7th grade math area of a circle geometry parallel lines simplify standard deviation solving triangles circumference of a circle fractions solving linear equations mixed numbers to improper fractions width of a rectangle percentages place value number of sides of a polygon systems of equations containing three variables scientific notation problems diameter of a circle lowest common denominator zeros of a function prime factorization solving systems of equations by graphing length of a rectangle algebra word problems dividing polynomials story problems ( derivative of a function area of a rectangle quadratic functions mathematical proofs vertex of a parabola 5th grade math calculus integers evaluating functions converting fractions to decimals homework equation algebra 1 range of a function calculators combining like terms least common denominator finding the nth term solve for y greatest to least perpendicular lines unit conversion radius of a circle algebra 2 ordered pairs area word problems ) solving radical equations complex numbers slope calculus problem functions calculate distance between two points because i don't understand common denominator multiplying fractions set builder notation binomial expansion percents what is the answers? equation of a tangent line geometry word problems simplifying radicals midpoint of a line ratios help me please and show how to work it out round to the nearest tenth 4th grade math #math show work () product of two consecutive numbers statistics median solve adding fractions absolute value graphing functions radicals significant figures math homework show every step to solve this problem divisibility rules 1 graphing ? roots of polynomials factor by grouping - improper fractions to mixed numbers pre-algebra problems volume of a cylinder how to complete the square subtracting fractions percentage derivatives number patterns simultaneous equations http: mathhomeworkanswers.org ask?cat=# please help solving equations with variables multiplying polynomials numbers mixed numbers maths sets integration decimals need help (explain this to me) solving quadratic equations by completing the square solving trigonometric equations surface area of a prism surface area of a cube average rate of change pemdas logarithms divide please answer this question as soon as possible. thank you :) http: mathhomeworkanswers.org ask# place values rounding decimals = implicit differentiation rational irrational numbers reducing frations to lowest terms perimeter of a triangle algebra1 matrices dividing age problem rounding to the nearest cent arithmetic sequences comparing decimals trigonometry lcm angles answer #help how do you solve this problem in distributive property compound interest geometry problem simplifying trigonometric equation using identities direct variation 9th grade math mean factor writing in decimal form height of a triangle solving equations by factoring none measurement problems solve algebra equation

how to find slope and y-intercept of y=3x-5

I don't know how to find the slope and y-intercept of the equation y=3x-5. I also need help a faction one. The equation is y= -2/3x + 4 ( / = divided). I need to state the slope and y-intercept.

   Then I have to graph the answer.
asked Aug 13, 2011 in Algebra 2 Answers by anonymous




Your answer

Your name to display (optional):
Privacy: Your email address will only be used for sending these notifications.
Anti-spam verification:

To avoid this verification in future, please log in or register.

6 Answers

Any line equation which is in the form y=m*x + b is called slope-intercept form. What that gives you is the slope is the number which is multiplied by X (called the coefficient) while the slope intercept is the Y value when X=0.

So if we take your first equation: y = 3x - 5

The slope (or m) = 3

The Y intercept = -5

Slope is defined as either "the change in y divided by the change in x" or "rise over run", so that 3, really can be considered as 3/1. Each change in X of 1 will change Y by 3. So slope = 3/1.

Graphing any line can come from 2 methods. 1) create a table of values or 2) calculate a single point (x,y) and then apply the slope to find a second coordinate pair (x,y).

For the equation y=3x - 5:

y = 3x - 5
x y
0 -5
1 -2

Replacing the values for X into the original equation, will come out to the values for Y. So when X=0, y = 3*0 - 5, or simply -5. 

When X = 1, Y = 3*1 -5 or simply -2.

With these two coordinate pairs of points, you can plot a dot on your graph at each (0,-5) and (1, -2) then draw a straight line which goes through each point and continues straight in each direction, probably ending each end of this line with an arrow to show it continues. I do not have a way to include a picture here of a graph.

The second way to graph a line is as follows. You need a starting point that will be on the line. Given the form of y=mx + b, you have a simple point which can be used at the y-intercept. The point is always in the form of (0, b), so in this case it is (0,-5). From that first point, you will apply your slope. The slope is 3 (or technically 3/1 which is a big help). From the initial point (0,-5) you will go UP 3 and RIGHT 1 and that will be the next point that is easy to find. Connect those two points and continue the line in each direction and that will be a graph of your line.

Anytime your slope is positive, you will use it by going UP the top number (numerator of the slope) and going RIGHT the bottom number (denominator of the slope). But if your slope is negative (like your second problem is) you will use it by going DOWN the numerator and then RIGHT the denominator.

The equation is y= -2/3x + 4 ( / = divided). I need to state the slope and y-intercept.

I will not walk through the details on the second equation, but you should have enough information to get the answer from the above example.

answered Aug 14, 2011 by anonymous
x(x)+2x=35   how does x=5?
answered May 21, 2012 by anonymous

2+2
=4 because we are adding that means to plus

 

answered Oct 5, 2012 by anonymous
what is 14x4
answered Dec 7, 2012 by anonymous
6y= -5x +24
answered Oct 10, 2013 by JOHN
student of cambridge 8th grade
answered Jun 26 by damu

Related questions

...