145k views
1 vote
Select the correct answer. Which line has a y-intercept of 2 and an x-intercept of -3? W. X. Y. Z. A. W B. X C. Y D. Z

User Jurka
by
7.7k points

2 Answers

6 votes

The y-intercept of the line is 2, so the equation of the line is: y = (2/3)x + 2. Therefore, the correct answer is A.

The y-intercept of a line is the point where the line crosses the y-axis, which is when x = 0. The x-intercept of a line is the point where the line crosses the x-axis, which is when y = 0.

Given the conditions in the question, we know that the line has a y-intercept of 2 and an x-intercept of -3. This means that the line passes through the points (0, 2) and (-3, 0).

To find the equation of the line, we can use the slope-intercept form:

y = mx + b

where m is the slope of the line and b is the y-intercept.

The slope of the line is the change in y divided by the change in x. Since the line passes through the points (0, 2) and (-3, 0), the slope is:

m = (0 - 2) / (-3 - 0) = 2/3

The y-intercept of the line is 2, so the equation of the line is:

y = (2/3)x + 2

Therefore, the correct answer is A.

Complete question:

Which line has a y-intercept of 2 and an x-intercept of -3?

A y = (2/3)x + 2.

B y + 3 = x + 2

C y + 3 = 2x

D y/2 = x - 3

User Tresha
by
7.9k points
4 votes

Answer:


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

Explanation:

The question is incomplete, as the graphs or equations of the lines are not given.

However, I will give a general explanation of calculating both intercepts

A linear equation is of the form:


y = mx + b

Where:


b \to y intercept

So, the equation


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

has 2 as its y-intercept

Set y to 0, to calculate the x-intercept


0 = -(2)/(3)x + 2

Collect like terms


(2)/(3)x = 2

Multiply by 3/2


x = 2 * (3)/(2)


x = 3

So, the equation with the required criteria is:


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

User Prosenjit
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