Write the equation of a line with a slope of 2 that passes through the points (-2, -7) and (5, 7)

a. y-7=2x+5
b. y=2x
c. y=2x+3
d. y=2x-3

The answer to your question is letter D.

Step-by-step explanation:

Slope  = m = 2

Points A (-2, -7)   B ( 5, 7)

1.- Check the slope

                               m =

                                      m = 2

   Then, the slope is correct

2.- Find the equation of the line

                                     y - y1 = m (x - x1)

                                     y + 7 = 2(x + 2)

                                     y + 7 = 2x + 4

                                     y = 2x + 4 - 7

                                     y = 2x - 3

y=ax+b

(-2; -7);  x=-2; y=-7

-7=-2a+b=> b=2a-7

(5; 7);  x=5; y=7

7=5a+b

7=5a+2a-7  ; 7a=14=> a=2

b=2•2-7; b= -3

=> y=2x-3    D.

step-by-step explanation:

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