Question

QUESTION 9 1 POINT

Find the x-intercept of the following line.
Give your answer as an ordered pair (a, b).
Provide your answer below:

y = -3/2x + 9

Answer 1

6,0

Step-by-step explanation

Hope it help

Answer 2

(6, 0)

Explanation:

Given linear equation:

`y=-(3)/(2)x+9`

The x-intercept is the point at which the line crosses the x-axis, so when y=0. Therefore, to find the x-intercept of the given line, substitute y=0 and solve for x.

`\textsf{Substitute $y = 0$}:`

`\implies -(3)/(2)x+9=0`

`\textsf{Subtract $9$ from both sides}:`

`\implies -(3)/(2)x+9-9=0-9`

`\implies -(3)/(2)x=-9`

`\textsf{Multiply both sides by $2$}:`

`\implies -(3)/(2)x \cdot 2=-9 \cdot 2`

`\implies -3x=-18`

`\textsf{Divide both sides by $-3$}:`

`\implies (-3x)/(-3)=(-18)/(-3)`

`\implies x=6`

Therefore the x-intercept of the given line is (6, 0).