Question

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

Answer 1

Answer:

y = 3x - 2

Step-by-step 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