Question

What is the equation of the line in slope-intercept form?

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 = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 2, 0) and (x₂, y₂ ) = (0, 5)

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

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

y =
`(5)/(2)` x + 5 ← equation in slope- intercept form