Question

What is the equation of the straight line shown below? Give your answer in the form y = mx + c, where m and c are integers or fractions in their simplest forms.

PLEASE HELP!ASAP!


(Photo given below.)​

Answer 1

y = 2x + 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 ) = (- 4, 0) and (x₂, y₂ ) = (0, 8) ← 2 points on the line

m =
`(8-0)/(0-(-4))` =
`(8)/(0+4)` =
`(8)/(4)` = 2

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

y = 2x + 8 ← equation of line