Question

Find the slope of the line shown on the graph to the right

Answer 1

slope =
`(3)/(4)`

Explanation:

calculate the slope m using the slope formula

m =
`(y_(2)-y_(1) )/(x_(2)-x_(1) )`

with (x₁, y₁ ) = (- 3, - 2) and (x₂, y₂ ) = (1, 1) ← 2 points on the line

m =
`(1-(-2))/(1-(-3))` =
`(1+2)/(1+3)` =
`(3)/(4)`

Answer 2

Answer: 3/4

Explanation:

The slope = (y2-y1)/(x2-x1) for two points (x1,y1) and (x2,y2).

In this image, the two points are (-3,-2) and (1,1)

We can plug this into the equation.

Slope = (1-(-2))/(1-(-3))

Slope = 3/4