Write the equation of the line that passes through the given points:
(4,7), (6,13)

y = 3x - 5

Step-by-step explanation:

Find the slope using rise over run (y2 - y1) / (x2 - x1)

Plug in the points:

(13 - 7) / (6 - 4)

6 / 2

= 3

Then, plug this and a point into y = mx + b to solve for b:

y = mx + b

7 = 3(4) + b

7 = 12 + b

-5 = b

Then, plug this and the slope into y = mx + b to get the equation:

y = 3x - 5 will be the equation

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step-by-step explanation: