# What is the equation of the line that passes through the points (-2, 2) and (0, 5)?

**Solution:**

In order to find the equation of the line we can use the slope intercept form

The slope-intercept form of a straight line is used to find the equation of a line.

For the slope-intercept formula, we have to know the slope of the line and the intercept cut by the line with the y-axis.

y = mx + b

Where m is the slope

b is the y-intercept

We know that

m = (y_{2} - y_{1})/ (x_{2} - x_{1})

Substituting the values we get

m = (5 - 2) / (0 + 2)

m = 3/2

To find b, we can solve using the point (0, 5)

5 = 3/2 (0) + b

b = 5

So we get

y = 3/2 x + 5

Therefore, the equation of the line is y = 3/2 x + 5.

## What is the equation of the line that passes through the points (-2, 2) and (0, 5)?

**Summary:**

The equation of the line that passes through the points (-2, 2) and (0, 5) is y = 3/2 x + 5.