Question
Which graph best represents
y=−4x+3−2?
A.
B.
C.
D.
y=−4x+3−2?
A.
B.
C.
D.
Answers
GPT-4o mini
To determine which graph best represents the equation \( y = -4x + 3 - 2 \), we first simplify the equation:
\[
y = -4x + 1
\]
This is a linear equation in slope-intercept form \( y = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept. Here, the slope \( m \) is -4, and the y-intercept \( b \) is 1.
To sketch the graph:
1. **Y-Intercept**: The line crosses the y-axis at (0, 1).
2. **Slope**: The slope is -4, which means for every 1 unit you move to the right (increase in x), the value of y decreases by 4 units.
Using the y-intercept, you can plot the point (0, 1) and from there move down 4 units and right 1 unit to reach the next point (1, -3).
You would repeat this until you have a clear line.
Once you have the points plotted, identify the graph that matches these characteristics:
- A line that decreases from left to right
- It intercepts the y-axis at \( (0, 1) \)
You will need to compare these characteristics with the graphs A, B, C, and D presented. Look for the graph that shows a line decreasing with the specified intercept and slope.
\[
y = -4x + 1
\]
This is a linear equation in slope-intercept form \( y = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept. Here, the slope \( m \) is -4, and the y-intercept \( b \) is 1.
To sketch the graph:
1. **Y-Intercept**: The line crosses the y-axis at (0, 1).
2. **Slope**: The slope is -4, which means for every 1 unit you move to the right (increase in x), the value of y decreases by 4 units.
Using the y-intercept, you can plot the point (0, 1) and from there move down 4 units and right 1 unit to reach the next point (1, -3).
You would repeat this until you have a clear line.
Once you have the points plotted, identify the graph that matches these characteristics:
- A line that decreases from left to right
- It intercepts the y-axis at \( (0, 1) \)
You will need to compare these characteristics with the graphs A, B, C, and D presented. Look for the graph that shows a line decreasing with the specified intercept and slope.