Question

Here’s a graph of a linear function. Write the equation that describes that function. Express it in slope-intercept form.

Answer 1

see explanation

Explanation:

The equation of a line in slope- intercept form is

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

To calculate m use the slope formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (0, - 3) and (x₂, y₂ ) = (6, 0) ← 2 points on the line

m =
`(0+3)/(6-0)` =
`(3)/(6)` =
`(1)/(2)`

Note the line crosses the y- axis at (0, - 3 ) ⇒ c = - 3

y =
`(1)/(2)` x - 3 ← equation in slope- intercept form