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What is the equation of the line that passes through the points (4,7) and (8,10)?

Choices:
A. 3x+4y=−16
B. 3x−4y=16
C. 3x+4y=16
D. 3x−4y=−16
E. −3x−4y=16

Respuesta :

First we need to calculate the slope (m)
m = y2-y1 / x2-x1
m = 10-7 / 8-4
m = 3/4

Now, y - y1 = m(x - x1)
y - 7 = 3/4 (x - 4)
y - 7 = 3x/4 - 3
y = 3x/4 + 4
Multiply both sides by 4, 
4y = 3x + 16
3x - 4y = -16

In short, Your Answer would be Option D

Hope this helps!

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