Question

Final Exam Review Quiz 1

Which equation best represents a line that has a slope of and passes through the point (3, 5)?

Answer 1

y =
`(2)/(3)` x + 3

Explanation:

y = mx + b is the slope intercept form of a line. You need to know the m (slope) and the b (y intercept) to write the equation.

We are given the m (slope) to be
`(2)/(3)`. We will use 3 from the point given for our x and the 5 from the point given for our y. We will use these to solve for the b (y-intercept)

y = mx + b

5 =
`(2)/(3)` (3) + b

5 =
`(2)/(3)` ·
`(3)/(1)` + b

5 =
`(6)/(3)` + b

5 = 2 + b Subtract 2 from both sides

3 = b

We can now write the equation. Our slope (m) is
`(2)/(3)` and our y-intercept (b) is 3.

y =
`(2)/(3)` x + 3

Helping in the name of Jesus.