Question

Choose the equation below that represents the line pa ssing through the point (-3, -1) with a slope of 4

Answer 1

The point-slope form:

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

We have the slope m = 4 and tthe point (-3, -1). Substitute:

`y-(-1)=4(x-(-3))\\\\y+1=4(x+3)\qquad|\text{use distributive property}\\\\y+1=4x+12\qquad|-1\\\\y=4x+11\qquad|-11\\\\y-11=4x\qquad|-y\\\\4x-y=-11`

Answer:

point-slope form: y + 1 = 4(x + 3)

slope-intercept form: y = 4x + 11

standard form: 4x - y = -11