Irene R. answered • 07/15/20

BS in Mechanical Engineering and Certified math teacher for 13 years

Hi John,

Parallel lines have the same slope. The equation of a line can be written in slope -intercept form as:

y = m • x + b where m is the slope of the line and b is the y-intercept.

To find the slope, m, of a line given two points, you would subtract the y coordinates and divide by the difference of the x coordinates.

Using the points in this problem, the slope ,m , will be:

__y___{2}__ - y___{1}__ __ = __ -8 - 4 __ = __ -12__ = -6

x_{2} - x_{1} -3 - (-5) 2

The slope of any line parallel to the line drawn thru the given points will also be -6