Question

Question

Find the equation of the line with slope m
=
2 that contains the point (8,19).

Answer 1

Answer: y= 2x + 3

Explanation:

Point slope formula: y = mx + b

Since the given point is (8,19), 19 is our y, and 8 is our x. Since the slope is 2, our m is 2.

Sub in values.

y = mx + b

19 = 2(8) +b

19 = 16 + b

b = 19-16

b = 3

Now that we have m and b, we can make the equation.

y = mx + b, sub in 2 for m and 2 for b

y = 2x + 3

19 = 2(8) + 3

19 = 16 + 3

19 = 19

So the answer is y = 2x+3