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:
y2 - y1 = -8 - 4 = -12 = -6
x2 - x1 -3 - (-5) 2
The slope of any line parallel to the line drawn thru the given points will also be -6