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 = (y₂ - y₁)/ (x₂ - x₁)

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.

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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.