Question

Use the graph to write a linear function that relates y to x.

Answer 1

Answer:

y = $\frac{1}{3}$ x + 3

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 )

Calculate m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (- 6, 1) and (x₂, y₂ ) = (3, 4) ← 2 points on the line

m = $\frac{4-1}{3+6}$ = $\frac{3}{9}$ = $\frac{1}{3}$

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

y = $\frac{1}{3}$ x + 3 ← linear equation