Question 186145
Find The Equation Of The Line That Goes Through The Points (-4,2) And (-3,-7).
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Here's a step-by-step way to find the equation and graph it, that you can use
for all these type of problems.
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Find the slope using the slope formula which it: m = {{{(y2-y1)/(x2-x1)}}}
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Assign the given values as follows:
x1 = -4; y1 = 2
x2 = -3; y2 = -7
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m = {{{(-7-2)/(-3-(-4))}}} which is m = {{{(-7-2)/(-3+4)}}} = {{{(-9)/(1)}}}
m = -9
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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
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You can check this by substituting the given value for x, and see if it equals
the given value for y
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Graph it using the given points. It should look like this:
{{{ graph( 300, 200, -10, 6, -40, 20, -9x-34) }}}
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Did this help you get a handle on this stuff? Not that hard, really!