SOLUTION: Could Someone Please Help Me Find The Equation Of The Line That Goes Through The Points (-4,2) And (-3,-7). I Am Terrible At Graphing And Equations And In Need Of Help. Thanks For

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Question 186145: Could Someone Please Help Me Find The Equation Of The Line That Goes Through The Points (-4,2) And (-3,-7). I Am Terrible At Graphing And Equations And In Need Of Help. Thanks For Your Help In Advance.?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Find The Equation Of The Line That Goes Through The Points (-4,2) And (-3,-7).
:
Here's a step-by-step way to find the equation and graph it, that you can use
for all these type of problems.
:
Find the slope using the slope formula which it: m = %28y2-y1%29%2F%28x2-x1%29
:
Assign the given values as follows:
x1 = -4; y1 = 2
x2 = -3; y2 = -7
:
m = %28-7-2%29%2F%28-3-%28-4%29%29 which is m = %28-7-2%29%2F%28-3%2B4%29 = %28-9%29%2F%281%29
m = -9
:
Use the point/slope formula; y - y1 = m(x-x1)
y - 2 = -9(x - (-4))
y - 2 = -9(x + 4)
y - 2 = -9x - 36
y = -9x - 36 + 2
y = -9x - 34; this is the equation
:
You can check this by substituting the given value for x, and see if it equals
the given value for y
:
Graph it using the given points. It should look like this:
+graph%28+300%2C+200%2C+-10%2C+6%2C+-40%2C+20%2C+-9x-34%29+
;
Did this help you get a handle on this stuff? Not that hard, really!