What is the y-intercept of a line that has a slope of 3 and passes through point (-1, -7)?
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Explanation:

Plug the slope m = 3 and (x1,y1) = (-1,-7) into the point slope formula.

Solve for y.

y - y1 = m(x - x1)

y - (-7) = 3(x - (-1))

y + 7 = 3(x + 1)

y + 7 = 3*x + 3*(1) ... distribute

y + 7 = 3*x + 3

y + 7 - 7 = 3*x + 3 - 7 ... subtract 7 from both sides

y = 3x - 4

This equation is in y = mx+b form

m = 3 is the slope from earlier

b = -4 is the y intercept, which is where the graph crosses the vertical y axis.

where is the figure

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