Question

What is the equation of the line in slope intercept form? Enter your answer in the boxes.

Answer 1

y =
`(5)/(2)` x + 5

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, 0) and (x₂, y₂ ) = (0, 5)

m =
`(5-0)/(0+2)` =
`(5)/(2)`

The line crosses the y- axis at (0, 5 ) ⇒ c = 5

y =
`(5)/(2)` x + 5 ← equation of line

Answer 2

the answer is y= 5/2 x +5