Question

A

line passes through the point (-4, 3) and has a slope of 4
Write an equation in slope-intercept form for this line.

Answer 1

Explanation:

the slope-intercept form :

y = ax + b

"a" being the slope, "b" being the y-intercept (the y value when x = 0).

but we have the slope and a point.

so, we can start with the point-slope form and then transform it :

y - y1 = a(x - x1)

"a" is again the slope, (x1, y1) is the given point.

so, we have

y - 3 = 4(x - -4) = 4(x + 4) = 4x + 16

y = 4x + 19

and that's it.