Question

A line passes through the points (-5, 9) and (-7, -5). What is its equation in point-slope

form?

Use one of the specified points in your equation. Write your answer using integers, proper
fractions, and improper fractions. Simplify all fractions.

Answer 1

y-9=7(x+5)

Explanation:

Point-Slope form is

`y-y_(1) =m(x-x_(1) )`

where m equals the slope of the line and y1 and x1 represent the y and x coordinates of one of the points on that line.

First, let's find the slope (change in y divided by the change in x):

`(9-(-5))/(-5-(-7)) =(14)/(2) =7`

Now, let's choose any one of the two points, I'll pick (-5,9), but (-7, -5) also works.

Substitute in the y value (in this case 9) for y1 and substitute the x value (in this case -5) for x1

We can also substitute the slope, m which we know is 7.

y-9=7(x-(-5)

y-9=7(x+5)

Answer 2

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