Question

Write the equation of the line that passes through (3, 4) and (2, −1) in slope-intercept form. y = 3x − 7 y = 3x − 5 y = 5x − 11 y = 5x − 9

Answer 1

y = 5x – 11

Explanation:

Answer 2

Find the slope of the line first using
`(y2 - y1)/(x2 - x1)`
(3, 4), (2, -1)

`(-1 - 4)/(2 - 3)`

`(-5)/(-1)` = 5

Now use y - y1 = m(x - x1) to make an equation in slope-intercept form. Plug the numbers into the formula.

y - (-1) = 5(x - 2)
y + 1 = 5x - 10
y = 5x - 11

The equation of the line in slope-intercept form would be y = 5x - 11.