Question

Through (-2,5) slope=-4

Answer 1

The point-slope form:

$y-y_1=m(x-x_1)$

We have the point (-2, 5) and the slope m = -4. Substitute:

$y-5=-4(x-(-2))$

$y-5=-4(x+2)$      use distributive property

$y-5=-4x-8$          add 5 to both sides

$y=-4x-3$    add 4x to both sides

$4x+y=-3$

Answer:

point-slope form: y - 5 = -4(x + 2)

slope-intercept form: y = -4x - 3

standard form: 4x + y = -3