Question
Week 5 - Math 8 - Assessment
2 of 92 of 9 Items
Question 4x-5y=40
The equation
is in standard form and tells us the x-intercept and y-intercept easily. What are the x and y intercepts for this equation?
Responses
The line crosses the x-axis at (-8, 0) and the y-axis at (0, 10)
The line crosses the x-axis at (-8, 0) and the y-axis at (0, 10)
The line crosses the x-axis at (4, 40) and the y-axis at (-8, 40)
The line crosses the x-axis at (4, 40) and the y-axis at (-8, 40)
The line crosses the x-axis at (10, 0) and the y-axis at (0, -8)
The line crosses the x-axis at (10, 0) and the y-axis at (0, -8)
The line crosses the x-axis at (0, 10) and the y-axis at (-8, 0)
The line crosses the x-axis at (0, 10) and the y-axis at (-8, 0)
The line crosses the x-axis at (4, 0) and the y-axis at (0, -5)
Answers
Answered by
GPT-4o mini
To find the x-intercept and y-intercept of the equation \( 4x - 5y = 40 \), we can follow these steps:
1. **Finding the x-intercept**: Set \( y = 0 \) in the equation and solve for \( x \).
\[
4x - 5(0) = 40 \implies 4x = 40 \implies x = \frac{40}{4} = 10
\]
So, the x-intercept is \( (10, 0) \).
2. **Finding the y-intercept**: Set \( x = 0 \) in the equation and solve for \( y \).
\[
4(0) - 5y = 40 \implies -5y = 40 \implies y = \frac{40}{-5} = -8
\]
So, the y-intercept is \( (0, -8) \).
Therefore, the correct response is:
**The line crosses the x-axis at (10, 0) and the y-axis at (0, -8)**.
1. **Finding the x-intercept**: Set \( y = 0 \) in the equation and solve for \( x \).
\[
4x - 5(0) = 40 \implies 4x = 40 \implies x = \frac{40}{4} = 10
\]
So, the x-intercept is \( (10, 0) \).
2. **Finding the y-intercept**: Set \( x = 0 \) in the equation and solve for \( y \).
\[
4(0) - 5y = 40 \implies -5y = 40 \implies y = \frac{40}{-5} = -8
\]
So, the y-intercept is \( (0, -8) \).
Therefore, the correct response is:
**The line crosses the x-axis at (10, 0) and the y-axis at (0, -8)**.