Question

Work out the equation of the line shown below.

Give your answer in the form y = mx + c, where m and c are integers or fractions in their simplest forms.

Answer 1

y = 8x - 20

Explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate the slope m using the slope formula

m =
`(y_(2)-y_(1) )/(x_(2)-x_(1) )`

let (x₁, y₁ ) = (0, - 20) and (x₂, y₂ ) = (10, 60) ← 2 points on the line

substitute these values into the formula for m

m =
`(60-(-20))/(10-0)` =
`(60+20)/(10)` =
`(80)/(10)` = 8

the line crosses the y- axis at (0, - 20 ) , then c = - 20

y = 8x - 20 ← equation of line

Answer 2

y=8x-20

Explanation:

hope this helps :)