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Write the equation of the line passing through the points (6,16) and (9,25).

First find the slope!

User Ryansin
by
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1 Answer

4 votes

Answer:

y = 3x - 2

Explanation:

Find the slope using rise over run (y2 - y1) / (x2 - x1), where (x1, y1 ) and (x2, y2) are points on the line.

Plug in the 2 points:

(y2 - y1) / (x2 - x1)

(25 - 16) / (9 - 6)

9 / 3

= 3

So, the slope is 3. Plug this and a point into y = mx + b to find b:

y = mx + b

16 = 3(6) + b

16 = 18 + b

-2 = b

Then, plug in b and the slope into the equation:

y = mx + b

y = 3x - 2 is the equation of the line

User Juan Carlos Coto
by
5.9k points