Question

Write an equation for the line shown on the graph.

Answer 1

Answer:

$\large\boxed{y=\dfrac{2}{3}x+1}$

Step-by-step explanation:

The slope-intercept form of an equation of a line:

$y=mx+b$

m - slope

b - y-intercept → (0, b)

The fromual of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

(x₁, y₁), (x₂, y₂) - points on a line

We have the points from the graph:

(0, 1) → b = 1 and (3, 3).

Calculate the slope:

$m=\dfrac{3-1}{3-0}=\dfrac{2}{3}$

Finally we have the equation of a line:

$y=\dfrac{2}{3}x+1$