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.
-
Slope or m = ______________
-
(-1, 8) = (, )
(-4, -7) = (, )
-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.