Question

what is the equation of the line that contains point (-2, -2) and a slope of 4

Answer 1

Given the a point and a slope

point coordinate ( -2 , -2 )

Slope (m) = 4

Step 1: Write the formula for the point-slope equation

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

Step 2: Identify the x and y values

$\begin{gathered} x_1=-2 \\ y_1=-2 \\ m=4 \end{gathered}$

Step 3: substitute the values in the point-slope equation formula

$\begin{gathered} y-(-2)=4(x-(-2)) \\ y+2=4(x+2) \\ y+2=4x+8 \\ y=4x+8-2 \\ y=4x+6 \end{gathered}$

Hence, the equation of the line is y = 4x+6