Question
Find the slope of a line that passes through (–10, –1) and (5, - 4).
Responses
-3
-3
−15
negative 1 fifth
13
1 third
1
To find the slope of a line that passes through two points, you can use the slope formula:
Slope (m) = (change in y) / (change in x) = (y2 - y1) / (x2 - x1)
Using the points given, (–10, –1) and (5, - 4), we can plug the coordinates into the formula:
m = (-4 - (-1)) / (5 - (-10))
m = (-4 + 1) / (5 + 10)
m = (-3) / (15)
m = -1/5
Therefore, the slope of the line that passes through the points (–10, –1) and (5, -4) is -1/5.