Question

Write the equation of each line in slope‐intercept form.

Answer 1

y = 3x + 2

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 ) = (- 2, - 4) and (x₂, y₂ ) = (0, 2) ← 2 points on the line

m =
`(2-(-4))/(0-(-2))` =
`(2+4)/(0+2)` =
`(6)/(2)` = 3

the line crosses the y- axis at (0, 2 ) ⇒ c = 2

y = 3x + 2 ← equation of line