Question

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

Answer 1

Answer:

see explanation

Step-by-step 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 = $\frac{0+3}{6-0}$ = $\frac{3}{6}$ = $\frac{1}{2}$

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

y = $\frac{1}{2}$ x - 3 ← equation in slope- intercept form