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In this equation, m is the slope of the line and b is the y-intercept.

So the slope here is 4.

GIVEN; y=4x + 3

If the formula is: y= mx + b

then the slope is 4..

The line is plus 8 Plus 3 plus 7

The slope of a line is the ratio of unit change in y to unit change in x.

In other words, the slope means that, if x increases 1 unit, how much y increases or decreases

its quantity. So that the slope reveals how steeply or slowly the graph goes up or down.

Write standard form of a linear equation in functional form, e.g. y=f(x)=mx+b···Eq.1

In Eq.1, if x increases 1 unit, then y=f(x+1)=m(x+1)+b=mx+m+b···Eq.2

So, the unit change in y is: Eq.2-Eq.1=f(x+1)-f(x)=m

Thus, the slope, the ratio of unit change, is: y : x = m : 1

Therefore, the slope of line y=mx+b is equal to m.

That is: m, the coefficient of x, indicates the slope.

In this question, 4 corresponds to m. So, the slope is 4.

The answer: The slope of line y=4x+3 is 4.

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