Question

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

y = 4x - 11
y = 4x + 11
y = 4x + 7
y = 4x - 7

Answer 1

y=4x + 11

Explanation:

y = mx + b

y = 4x + b

-1= 4(-3) + b

b= 11

y= 4x + 11

Answer 2

y = 4x +11

Explanation:

`(-3,-1) = (x_1, y_1) \\ m = 4`

Substitute values into point slope form

`y-y_1 = m(x-x_1) \\ y - ( - 1) = 4(x - ( - 3)) \\ y + 1 = 4(x + 3) \\ y + 1 = 4x + 12`

Collect like terms and simplify

`y = 4x + 12 - 1 \\ y = 4x + 11`