Find the equation (in terms of x) of the line through the points (-2,3) and (4,-9)
y =
2 answers:
Answer: y = -2x - 1
Step-by-step explanation:
We can calculate the slope from the two given points. Slope is the change in y per the change in x, sometimes called the rise (y) over the run (x)
Rise is (-9 -3) = -12
Run is (4 - (-2)) = 6
Slope = Rise/Run = -12/6 = -2
The line is y = -2x + b
Find b by using either of the two known points (solutions). I'll choose (-2,3) [because I like smaller numbers]
y = -2x + b
3 = -2*(-2) + b
b = -1 [That was only slightly easier than -9 = -2*(4) + b; b = -1]
The equation is y = -2x - 1
Answer:
y =5
Step-by-step explanation:
m=
−9−7
5−5
=
−16
0
=0
y=mx+b
5=(0)(7)+b
b=5
therefore y = 5
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