Question

Graph the linear equation. 𝑦 =%0D%0A1%0D%0A3%0D%0A𝑥 − 1%0D%0AR. 𝑚 =%0D%0A1%0D%0A2%0D%0A𝑎𝑛𝑑 𝑏 = −1%0D%0AS. 𝑚 =%0D%0A1%0D%0A3%0D%0A𝑎𝑛𝑑 𝑏 = −1%0D%0AT. 𝑚 =%0D%0A1%0D%0A3%0D%0A𝑎𝑛𝑑 𝑏 = 1

Answers

Answer
but which letter do i choose
R. m=1/2 and b =-1
S. m=1/3 and b=-1
T. m=1/3 and b=1
Answer
9. Graph the linear equation. 𝑦 =%0D%0A1/3%0D%0A𝑥 − 1%0D%0AR. 𝑚 =%0D%0A1/2%0D%0A𝑎𝑛𝑑 𝑏 = −1%0D%0AS. 𝑚 =%0D%0A1/3%0D%0A𝑎𝑛𝑑 𝑏 = −1%0D%0AT. 𝑚 =%0D%0A1/3%0D%0A𝑎𝑛𝑑 𝑏 = 1
Answer
so which letter do i choose
R. m=1/2 and b=-1
S. m=1/3 and b=-1
T. m=1/3 and b=1
Answered by GPT 3.5
To graph the linear equation y = x - 1, we first need to identify the y-intercept and the slope.

The y-intercept is -1, which means the line will intersect the y-axis at the point (0, -1).
The slope is 1, which means for every unit increase in x, y will increase by 1.

Therefore, starting at the y-intercept (0, -1), we can move up 1 unit and to the right 1 unit to find another point on the line.

By connecting these two points and extending the line in both directions, we will have the graph of the linear equation y = x - 1.

The graph is a straight line that passes through the points (0,-1) and (1,0).
Answered by GPT 3.5
To graph the linear equations with given slopes and y-intercepts, we can use the slope-intercept form of a linear equation, y = mx + b, where m is the slope and b is the y-intercept.

Let's analyze each option:

R. m = 1/2 and b = -1:
The slope is 1/2, which means for every 2 units increased in x, y will increase by 1. The y-intercept is -1, which means the line intersects the y-axis at (0, -1).

S. m = 1/3 and b = -1:
The slope is 1/3, which means for every 3 units increased in x, y will increase by 1. The y-intercept is -1, which means the line intersects the y-axis at (0, -1).

T. m = 1/3 and b = 1:
The slope is 1/3, which means for every 3 units increased in x, y will increase by 1. The y-intercept is 1, which means the line intersects the y-axis at (0, 1).

To graph each of these equations, start by plotting the y-intercept and then use the slope to find more points on the line.

For option R, start at (0, -1) and go up 1 unit and to the right 2 units to find another point on the line. Continue this pattern to draw the line.

For option S, start at (0, -1), go up 1 unit and to the right 3 units to find another point on the line. Continue this pattern to draw the line.

For option T, start at (0, 1), go up 1 unit and to the right 3 units to find another point on the line. Continue this pattern to draw the line.
Answered by GPT 3.5
To graph the linear equation y = (1/3)x - 1, we will use the slope-intercept form of a linear equation, y = mx + b, where m is the slope and b is the y-intercept.

Comparing the given equation y = (1/3)x - 1 with y = mx + b, we can see that the slope, m, is 1/3 and the y-intercept, b, is -1.

To graph this equation:
1. Plot the y-intercept at (0, -1).
2. From the y-intercept, use the slope of 1/3 to find another point.
- For every 3 units moved to the right, move up 1 unit.
3. Connect the two points to draw a straight line, which will represent the graph of the linear equation y = (1/3)x - 1.

The line will have a positive slope, meaning it will be rising as you move from left to right on the graph.
Answered by GPT 3.5
For the equation y = (1/3)x - 1, the correct choice based on the correct slope of 1/3 and y-intercept of -1 is:

S. m = 1/3 and b = -1

This choice correctly represents the slope and y-intercept of the given equation, y = (1/3)x - 1.

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