Question

Write the equation of the following line in slope-intercept form.

Answer 1

y =
`(2)/(5)` x + 4

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 ) = (- 5, 2) and (x₂, y₂ ) = (0, 4) ← 2 points on the line

m =
`(4-2)/(0-(-5))` =
`(2)/(0+5)` =
`(2)/(5)`

The line crosses the y- axis at (0, 4 ) ⇒ c = 4

y =
`(2)/(5)` x + 4 ← equation of line