Question

What is the slope of the line through the points (-4, 6) and (-3, -1)?

Answer 1

`slope=-7`

Explanation:

Use the slope formula for when you have two points:

`(y(2)-y(1))/(x(2)-x(1))`

It is y over x because slope is rise over run : the change in the y-axis over the change in the x-axis. Plug in values:

(-4,6) (-3,-1)

`(-1-6)/(-3-(-4))`

Simplify

`(-1-6)/(-3+4)=(-7)/(1)`

Simplify

`(-7)/(1)=-7`

Done.

Answer 2

m= -7

Explanation:

using the slope formula, plug in the variables and solve

m=rise/run

m=y2-y1 / x2-x1

(x1, y1) = coordinates of first point in the line

(x2, y2) = coordinates of second point in the line