Question

find the slope of a line that passes through (-2,1) and (4,9)

Answer 1

Answer:

m = 4/3

Step-by-step explanation:

To find the slope of a line use the formula, where "m" means slope:

$m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

*You don't need to show this part on paper*

Choose which point you want to be point 1 and point 2. Remember the points are written (x, y).

Point 1: (-2, 1)       x₁ = -2  y₁ = 1

Point 2: (4, 9)      x₂ = 4   y₂ = 9

Substitute the coordinates into the formula:

*Show this part on paper*

$m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

$m=\frac{9-1 }{4-(-2) }$         Simplify

$m=\frac{8 }{6 }$                Reduce by dividing by 2

$m=\frac{4 }{3 }$               Slope

The slope of the line is 4/3