Question

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

Answer 1

Answer:

77777777777777777777

Answer 2

Answer:

y-9=7(x+5)

Step-by-step 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):

$\frac{9-(-5)}{-5-(-7)} =\frac{14}{2} =7$

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)