SOLUTION: Find an equation of the line containing the given pair of points (-1,-8) and (-4,-7) Thanks

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Question 78319This question is from textbook Elementary Alegbra
: Find an equation of the line containing the given pair of points
(-1,-8) and (-4,-7)
Thanks
This question is from textbook Elementary Alegbra

Answer by rmromero(383) About Me  (Show Source):
You can put this solution on YOUR website!

Find an equation of the line containing the given pair of points
(-1,-8) and (-4,-7)


Slope - Intercept Form of the equation will help us to find the equation
given two points.
y = mx + b

STep 1. Find the slope given two points.
y%5B2%5D - y%5B1%5D
Slope or m = ______________
x%5B2%5D - x%5B1%5D
(-1, 8) = (x%5B1%5D, y%5B1%5D)
(-4, -7) = (x%5B2%5D, y%5B2%5D)
-7 - 8
m = ___________
-4 -(-1)
- 15
m = ________
-3
m = 5

Step 3 : Find the y - intercept or b
y = mx + b where m = 5, x= -4, y = -7
Note : you can use either of the two points given. same slope of course
-7 = 5(-4) + b
-7 = -20 + b
20 - 7 = b
13 = b
Step 3: Substitute m = 5, b = 13 to slope -intercept form y = mx + b
y = 5x + 13 ---> this is the equation in slope -intercept form
5x - y = 13 ----> Equation in standard form.