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Write the point-slope form of the line that passes through the points (-2, 1) and (0, 1). Identify (x1, y1) as (-2, 1). Use the box provided to submit all of your calculations and final answers.

Question

Write the point-slope form of the line that passes through the points (-2, 1) and (0, 1). Identify (x1, y1) as (-2, 1). Use the box provided to submit all of your calculations and final answers.

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Solution

The point-slope form of a line is given by the formula:

y - y1 = m(x - x1)

where m is the slope of the line and (x1, y1) is a point on the line.

First, we need to find the slope of the line that passes through the points (-2, 1) and (0, 1). The slope m is given by the formula:

m = (y2 - y1) / (x2 - x1)

Substituting the given points into the formula, we get:

m = (1 - 1) / (0 - (-2)) = 0 / 2 = 0

So, the slope of the line is 0.

Now, we can substitute m = 0 and the point (-2, 1) into the point-slope form of the line:

y - 1 = 0(x - (-2))

Simplifying this equation, we get:

y - 1 = 0

or

y = 1

So, the point-slope form of the line that passes through the points (-2, 1) and (0, 1) is y = 1.

This problem has been solved

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