Question

Write the equation of the line in fully simplified slope-intercept form.

Answer 1

y = - 6x - 8

Explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

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

with (x₁, y₁ ) = (- 3, 10) and (x₂, y₂ ) = (- 1, - 2) ← 2 points on the line

m =
`(-2-10)/(-1-(-3))` =
`(-12)/(-1+3)` =
`(-12)/(2)` = - 6

the line crosses the y- axis at (0, - 8 ) ⇒ c = - 8

y = - 6x - 8 ← equation of line