Question

Look at this graph.

What is the equation of the line in slope-intercept form?
EXPLAIN HOW YOU GOT IT

Answer 1

y = x - 70

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 ) = (0, - 70) and (x₂, y₂ ) = (70, 0) ← 2 points on the line

m =
`(0-(-70))/(70-0)` =
`(0+70)/(70)` =
`(70)/(70)` = 1

The line crosses the y- axis at (0, - 70 ) ⇒ c = - 70

y = x - 70 ← equation of line