Question

Write an equation in slope-intercept form of the line shown.

Answer 1

`y = 2x - 5`

Explanation:

Find the slope using the points, (1, -3) and (3, 1):

`slope(m) = (y_2 - y_1)/(x_2 - x_1) = (1 -(-3))/(3 - 1) = (4)/(2) = 2`

m = 2

Find the y-intercept (b) by substituting x = 1, y = -3, and m = 2 in
`y = mx + b`

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

`-3 = 2 + b`

Subtract 2 from both sides

`-3 - 2 = 2 + b - 2`

`-5 = b`

`b = -5`

Plug in the value of m and b into the slope-intercept form equation,
`y = mx + b`.

Thus:

`y = 2x +(-5)`

✅
`y = 2x - 5`