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

Mathematics

1 answer:

astra-53 [7]4 years ago

3 0

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

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Ierofanga [76]

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by itself on the left side of the equation.

Start by subtracting 2x from both sides and we have -3y = -2x.

Then we divide both sides by -3 to get y = 2/3x.

Work is provided in the image below.