Find the slope-intercept form of the line whose slope is 3 and that passes through the point (-8,11)

Question

The equation of the line is...?

Answer 1

Slope intercept form is written as:

y = mx + b Where m is our slope and b is our y-intercept

we can plug in the slope given to us in the problem:

y = 3x + b

now we need to solve for b. To do this we can use the point they give us. The -8 is our x value and the 11 is our y value. So we can plug these values in and solve for b:

11 = 3*-8 + b

11 = -24 + b

+24 +24

35 = b

so our slope intercept equation is:

y = 3x + 35

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