Question

Which equation represents the line with a slope of 5/6 that passes through the point (−2,1)?

Answer 1

Answer:

Slope m=

10-2

7-3

=

8

4

m = 2

Step-by-step explanation:

Answer 2

Answer:

y = 5/6x + 8/3

Step-by-step explanation:

Remember that the slope intercept formula is:

y = mx + b  (m is the slope  and b is the y-intercept)

We know that slope = 5/6 therefore m = 5/6

So far we have the equation: y =5/6x + b

Now we must find b

To do that, you must plug in the point the line goes through in the x and y of the equation. Point (-2, 1) go through the equation:

y = 5/6x + b

1 = 5/6(-2) + b

Now solve for b

First, you will multiply 5/6 by -2

1 = -5/3 + b

Add 5/3 to both sides

1 + 5/3 = -5/3 + 5/3 + b

8/3 = b

Now that we have b, we can now complete the equation.

y = 5/6x + 8/3