Question

Find the x- and y-intercepts of the graph of the given equation. Then graph theequationA. -3x - y = 3B. y = x - 3

Answer 1

Given:

A.-3x - y = 3

B. y = x - 3

• A. -3x - y = 3

First rewrite the equation in terms of y

`y=-3x-3`

Thus, we have:

y = -3x - 3

To find the x intercept, set y = 0 and solve for x:

0 = -3x - 3

Add 3x to both sides:

0+3x = -3x + 3x -3

3x = -3

Divide both sides by 3:

`\begin{gathered} (3x)/(3)=(-3)/(3) \\ \\ x\text{ = -1} \end{gathered}`

Use the slope intercept form to find the y-intercept.

y = mx + b

Where b is the y-intercept

Thus, the y-intercept is -3

x-intercept = (-1, 0)

y-intercept = (0, -3)

• B. y = x - 3

,

•

x-intercept:

0 = x - 3

Add 3 to both sides:

0 + 3 = x - 3 + 3

3 = x

The x intercept is 3

y-intercept:

y = x - 3

y intercept = -3

x-intercept = (3, 0)

y-intercept = (0, -3)

The x-intercept is the point where the line crosses the x-axis while the y-intercept is the point the line crosses the y-axis.

ANSWER:

A. x-intercept = (-1, 0)

y-intercept = (0, -3)

B. x-intercept = (3, 0)

y-intercept = (0, -3)