Question

Find the slope of the line that goes through (-4, 5) and (3,-1)

Answer 1

y = (-6/7)x + 11/7

Explanation:

Going from (-4, 5) to (3,-1), x increases by 7 and y decreases by 6. Hence, the slope, m, of this line is m = rise / run = -6/7.

Making use of the slope-intercept form of the equation of a str. line, we have:

y = mx + b → 5 = (-6/7)(-4) + b, or

5 = 24/7 + b. Thus, b = 11/7, and

y = (-6/7)x + 11/7

Answer 2

The formula to find slope when you know two points is

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

In this case...

`y_(2) =-1\\y_(1) =5\\x_(2) =3\\x_(1) =-4`

^^^Plug these numbers into the formula for slope...

`(-1 - 5)/(3 - (-4))`

`(-6)/(7)`

^^^This is your slope

Hope this helped!

~Just a girl in love with Shawn Mendes