Question

A line passes through the point (-8, 2) and has a slope of34Write an equation in point-slope form for this line.

Answer 1

To write the equation of a line in point-slope form you use the given point and the slope:

m=3/4

point (- 8 ,2)

You have the next general form of point-slope equation:

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

The point gives the x1 and y1:

x1= -8

y1= 2

Then, the equation is:

$\begin{gathered} y-2=\frac{3}{4}(x-(-8)) \\ \\ \\ y-2=\frac{3}{4}(x+8) \end{gathered}$