How do you find the slope of a line that passes through (-2, -3) and (1, 1)?

1 Answer
smendyka
Jan 7, 2017

Use the slope formula to solve this problem. See explanation below:

Explanation:

Given two points on a line 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 this example gives:

#m = (color(red)(1) - color(blue)(-3))/(color(red)(1) - color(blue)(-2))#

#m = (color(red)(1) + color(blue)(3))/(color(red)(1) + color(blue)(2))#

#m = 4/3#

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