Question

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

Answer 1

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

Answer 2

`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`