Question

Find an equation, in slope-intercept form, that passes through point (-3, -7) with slope -3.

Select one:
a. y = -3x - 16
b. y = -3x - 5
c. y = 3x -5

Answer 1

the equation f a line that passes through the point (x1,y1) and has a slope of m is
y-y1=m(x-x1)
given the point (-3,7) and slope m=-3

y-(-7)=-3(x-(-3))
y+7=-3(x+3)
solve for y
y+7=-3x-9
minus 7 both sides
y=-3x-16
A is answer

Answer 2

Slope-intercept form is y = mx + b, and m is the slope
Because the slope is -3, m = -3
y = -3x + b

Plug in the point and solve for b
-7 = -3(-3) + b
-7 = 9 + b
-16 = b

a. y = -3x -16