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# Find the equation of the line passing through the points (-3, -16) and (4,5). Enter your answer in 'y=mx+b' form.

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Find the equation of the line passing through the points (-3, -16) and (4,5). Enter your answer in "y=mx+b" form.

waffles  Nov 10, 2017

#1
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First let's find the slope between these two points.

slope  $$=\,\frac{\text{change in y}}{\text{change in x}}\,=\,\frac{5-(-16)}{4-(-3)}\,=\,\frac{5+16}{4+3}\,=\,\frac{21}{7}$$   =   3

Using a slope of  3  and the point  (4, 5) , the equation of the line in point-slope form is

y - 5  =  3(x - 4)          Distribute the  3 .

y - 5  =  3x - 12          Add  5  to both sides.

y  =  3x - 7

hectictar  Nov 11, 2017
#1
+7155
+1

First let's find the slope between these two points.

slope  $$=\,\frac{\text{change in y}}{\text{change in x}}\,=\,\frac{5-(-16)}{4-(-3)}\,=\,\frac{5+16}{4+3}\,=\,\frac{21}{7}$$   =   3

Using a slope of  3  and the point  (4, 5) , the equation of the line in point-slope form is

y - 5  =  3(x - 4)          Distribute the  3 .

y - 5  =  3x - 12          Add  5  to both sides.

y  =  3x - 7

hectictar  Nov 11, 2017