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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

2 Answers

1 vote

Answer:

6,0

Step-by-step explanation

Hope it help

User Terelle
by
8.6k points
3 votes

Answer:

(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).

User Drxzcl
by
8.6k points

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