Question

( i will give brainlist ) What is the equation of the following graph?

Answer 1

Answer:

y= ⅓x +2

Step-by-step explanation:

Since the graph is a linear graph, let's use the slope-intercept form to find its equation.

Slope-intercept form

y= mx +c, where m is the slope and c is the y-intercept.

The y-intercept is the point at which the graph cuts through the y-axis. In this case, the y-intercept is 2.

Thus, y= mx +2.

Let's find the slope of the graph.

First, identify 2 pairs of coordinates from the graph:

(0, 2) and (3, 3)

Next, substitute these coordinates into the slope formula below:

$\boxed{ \text{slope} = \frac{y _{1} - y_2 }{x_1 - x_2} }$

slope

$= \frac{3 - 2}{3 - 0}$

$= \frac{1}{3}$

Thus, the equation of the graph is y= ⅓x +2.