95.8k views
4 votes
Final Exam Review Quiz 1

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

Final Exam Review Quiz 1 Which equation best represents a line that has a slope of-example-1
User Sethu
by
7.6k points

1 Answer

3 votes

Answer:

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.

User Algorys
by
7.9k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories