Question

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

Answer 1

y = 3x - 7

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, 2) and (x₂, y₂ ) = (1, - 4) ← 2 points on the line

m =
`(-4-2)/(1-3)` =
`(-6)/(-2)` = 3

the line crosses the y- axis at (0, - 7 ) ⇒ c = - 7

y = 3x - 7 ← equation of line