Use the work shown below to write the equation for a line that passes through the points (−5, 0) and (−1, −8).
2 answers:
Answer:
M = -2
b = -10
Step-by-step explanation:
First we need to find the slope
m = (y2-y1)/(x2-x1)
m = (-8 -0)/(-1- -5)
= (-8-0)/(-1+5)
= -8/4
= -2
We now want to find the y intercept
y = mx+b is the slope intercept form of the equation
y = -2x+b
Using the point (-5,0)
0 = -2(-5) +b
0 = 10+b
Subtract 10 from each side
-10 = 10-10+b
-10 =b
The y intercept is -10
y= -2x-10
Answer:
1) slope: -2
2) y-intercept: -10
Equation:
y = -2x - 10
Step-by-step explanation:
1) slope: (-8 - 0)/(-1 - -5)
= -8/4 = -2
2) y = -2x + c
0 = -2(-5) + c
c = -10
Equation:
y = -2x - 10
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