How do you find the slope of the line passing through the points (0, -4) and (-6, 7)?

1 Answer
Mar 27, 2018

See a solution process below:

Explanation:

The formula for find the slope of a line is:

m = (color(red)(y_2) - color(blue)(y_1))/(color(red)(x_2) - color(blue)(x_1))m=y2y1x2x1

Where (color(blue)(x_1), color(blue)(y_1))(x1,y1) and (color(red)(x_2), color(red)(y_2))(x2,y2) are two points on the line.

Substituting the values from the points in the problem gives:

m = (color(red)(7) - color(blue)(-4))/(color(red)(-6) - color(blue)(0)) = (color(red)(7) + color(blue)(4))/(color(red)(-6) - color(blue)(0)) = 11/-6 = -11/6m=7460=7+460=116=116