Parsons Colon
08/10/2023 · Middle School
Question 7 ( 2 marks) Calculate the \( x \)-intercept of the equation \( 5 x+6 y+60=0 \)
UpStudy ThothAI Solution
Tutor-Verified Answer
Step-by-step Solution
To find the \( x \)-intercept of the equation \( 5x + 6y + 60 = 0 \), we set \( y = 0 \) and solve for \( x \).
Substituting \( y = 0 \) into the equation:
\[
5x + 6(0) + 60 = 0
\]
This simplifies to:
\[
5x + 60 = 0
\]
Now, we can isolate \( x \):
\[
5x = -60
\]
\[
x = \frac{-60}{5} = -12
\]
Thus, the \( x \)-intercept is \( x = -12 \).
The \( x \)-intercept is \((-12, 0)\).
Quick Answer
The \( x \)-intercept is \( x = -12 \).
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