How do you find the slope of a line parallel to the line passing through points (-4,0) and (1,-5)?

Question

Hazel Anglin · Accepted Answer

See full explanation below

A line parallel to the line contain the two points in the problem will have the same slopes. Using the two points given we can find the slope. The slope can be found by using the formula: #m = (color(red)(y_2) - color(blue)(y_1))/(color(red)(x_2) - color(blue)(x_1))# Where #m# is the slope and (#color(blue)(x_1, y_1)#) and (#color(red)(x_2, y_2)#) are the two points on the line. Substituting the two points from the problem into the formula gives: #m = (color(red)(-5) - color(blue)(0))/(color(red)(1) - color(blue)(-4))# #m = color(red)(-5)/(color(red)(1) + color(blue)(4))# #m = color(red)(-5)/5# #m = -1# The slope of a parallel line is #-1#

Kennedy Adams · Answer

undefined To find the slope of a line parallel to the line passing through points (-4,0) and (1,-5), you first find the slope of the given line using the formula: $ m = \frac{{y_2 - y_1}}{{x_2 - x_1}} $. Substituting the coordinates into the formula: $ m = \frac{{-5 - 0}}{{1 - (-4)}} = \frac{{-5}}{{5}} = -1 $. Since parallel lines have the same slope, the slope of any line parallel to this one is also $ -1 $.