the equation is y=2/5x+3 and its graphed in the graphs below, but it says which graph shows the result of changing the 3 in the equation to -1? please help!
asked Mar 8, 2011 in Algebra 1 Answers by x0oLoveneverfails (120 points)

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30 Answers

This equation is in the form y=mx + b where  m = Slope and b = y intercept. If we change the 3 in the equation we are changing the b part of the equation which is the y intercept. This will shift the y intercept where the line crosses the y axis from 3 to -1. The slope remains the same so the entire line shifts down 4 spots.
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Let y0=(2/5)x, y1=(2/5)x+3 and y2=(2/5)x-1

The graph of y0=(2/5)x is a straight line that passes thru the origin, O(0,0), of the coordinate plane, and goes upwards as x increases because the coefficient of x, the slope of line y0, is positive(=2/5).   Slope is the ratio of coordinate changes, y to x or y/x, so this equation y0 indicates that y goes 2 units up as x goes 5 units right, positive.

y1=(2/5)x+3 is y0=(2/5)x shifted 3 units upwards, so line y1 intercepts y-axis at y=3.   The slope of y1 is equal to that of y0(=2/5), so line y1 is parallel to line y0.

y2=(2/5)x-1 is y0=(2/5)x shifted 1 unit downwards, so line y2 intersepts y-axis at y=-1.   The slope of y2 is equal to that of y0, so line y2 is parallel to line y0, and parallel to line y1 as well.

Therefore, choose the line that intercepts y-axis at y=-1, and parallel to line y= (2/5)x+3. 

answered Oct 18, 2014 by tokiokid70
edited Oct 18, 2014
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