Question

-

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

Answer 1

y =
`(1)/(2)` x + 3

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

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

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

y =
`(1)/(2)` x + 3 ← equation of line