Question

Select the equation in point-slope form for the line that passes through the point (1, –1) and has a slope of 4.

Answer 1

Answer:

$\large \boxed{y + 1 = 4(x - 1)}$

Step-by-step explanation:

The point-slope formula for a straight line is

y - y₁= m(x - x₁)

x₁ = 1; y₁ = -1; m = 4  

Substitute the values

$\begin{array}{rcl}y - (-1) & = & 4(x - 1)\\y + 1 & = & 4(x - 1)\\\end{array}\\\text{The equation for the line in point-slope form is \large \boxed{\mathbf{y + 1 = 4(x - 1)}} }$

The figure shows the graph of the equation with slope 4 passing through (1, -1).