Question

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

Answer 1

Answer:

y = $\frac{4}{3}$ x + 2

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 ) = (0, 2) and (x₂, y₂ ) = (6, 10) ← 2 points on the line

m = $\frac{10-2}{6-0}$ = $\frac{8}{6}$ = $\frac{4}{3}$

The line crosses the y- axis at (0, 2 ) ⇒ c = 2

y = $\frac{4}{3}$ x + 2 ← equation of line