Question

What is an equation in slope-intercept form for the line that passes through the points (1 -3) and (3 1)

Answer 1

Answer:

`y = 2x - 5`

Step-by-step explanation:

Slope-intercept form formula:

`y = mx + b`
For this formula we need the slope to find the slope use the slope formula:

`(y_(2) - y)/(x_(2) - x)`
Plug in the two points (1,-3) and (3,1)

`(1 - - 3)/(3 - 1)`

`(4)/(2)`
=2
the slope is 2

Now use the slope-interpect formula and plug in the slope (m)

`y = 2x + b`
plug in one point I'll use (3,1)

`1 = 2(3) + b`
1 = 6 +b
1-6=6-6+b
-5 = b

The equation would be:

`y = 2x - 5`