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77julia77 [94]
3 years ago
12

Complete the equation of the line through (-8,-2) (−4,6)

Mathematics
1 answer:
natka813 [3]3 years ago
7 0

Answer:

(6+2)/(-4+8)= 8/4= 2

y+2=2(x+8)

y+2=2x+16

y=2x+14

Step-by-step explanation:

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The slope m of a line through points A(x_1, y_1) and B(x_2, y_2)  is given by :<span>

\displaystyle{m = \frac{y_2-y_1}{x_2-x_1}&#10;



Thus, the slope of the line passing through points </span><span>(−1, 7) and (2, 10) is 

</span>\displaystyle{m= \frac{10-7}{2-(-1)}= \frac{3}{3}=1
<span>

The equation of a line with slope m passing through a point P(a, b) is given by
                                        (y-b)=m(x-a).


We can consider any of the points (-1, 7), or (2, 10). Let's choose (2, 10):

                                        y-10=1(x-2)
                                        y-10=x-2
                                           y-x=-2+10
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  Answer: </span><span>C. −x+y=8</span>
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