Question
Given the graph, select the equation that is parallel
a
y=2x+5
b
y=(5/3)x-9
c
y=(4/3)x-4
a
y=2x+5
b
y=(5/3)x-9
c
y=(4/3)x-4
Answers
GPT-4o mini
To determine which equation is parallel to a given graph, we need to look for the slope of the graph. Equations that are parallel will have the same slope.
1. In the equation \( y = 2x + 5 \), the slope is \( 2 \).
2. In the equation \( y = \frac{5}{3}x - 9 \), the slope is \( \frac{5}{3} \).
3. In the equation \( y = \frac{4}{3}x - 4 \), the slope is \( \frac{4}{3} \).
You need the slope of the original graph to compare it with the slopes from the options above. If the slope of the given graph is, for example, \( m \), then you would choose the equation from the list that has the same slope \( m \).
If the original graph has a slope of 2, then the parallel equation would be:
- \( yok = 2x + 5 \)
If the graph has a slope of \(\frac{5}{3}\), then it's:
- \( y = \frac{5}{3}x - 9 \)
If the graph has a slope of \(\frac{4}{3}\), then it's:
- \( y = \frac{4}{3}x - 4 \)
To conclude, pick the one that aligns with the slope of the graph you have.
1. In the equation \( y = 2x + 5 \), the slope is \( 2 \).
2. In the equation \( y = \frac{5}{3}x - 9 \), the slope is \( \frac{5}{3} \).
3. In the equation \( y = \frac{4}{3}x - 4 \), the slope is \( \frac{4}{3} \).
You need the slope of the original graph to compare it with the slopes from the options above. If the slope of the given graph is, for example, \( m \), then you would choose the equation from the list that has the same slope \( m \).
If the original graph has a slope of 2, then the parallel equation would be:
- \( yok = 2x + 5 \)
If the graph has a slope of \(\frac{5}{3}\), then it's:
- \( y = \frac{5}{3}x - 9 \)
If the graph has a slope of \(\frac{4}{3}\), then it's:
- \( y = \frac{4}{3}x - 4 \)
To conclude, pick the one that aligns with the slope of the graph you have.