Question

Mathematics

What is the equation of the line that passes through the points and ( ? Write your answer in slope-intercept form.

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Best Answer

To find the equation of the line that passes through the points and , we can start by finding the slope of the line. The slope of a line passing through two points and is given by the formula:

Substituting the coordinates of the two points, we get:

So the slope of the line passing through the two points is .

Next, we need to find the -intercept of the line. To do this, we can use the point-slope form of a linear equation:

Next, we need to find the

Choose either point to substitute as , and use the slope we just found. We’ll use the first point :

Simplifying this equation:

Multiplying both sides by 4:

Distributing the :

Solving for :

So the equation of the line that passes through the points and is:

written in slope-intercept form.