QuestionThe graph of $y=4-x$ is: a) parabola, b) parabola, c) line (slope -1, intercept 4), d) line (slope 4, intercept -1), e) circle.

Studdy Solution

STEP 1

Assumptions1. The equation is $y=4-x$ . We need to determine the correct graphical representation of this equation

STEP 2

The equation $y=4-x$ is a linear equation, not a quadratic or a circle equation. We can tell this because it is in the form $y=mx+b$ , where $m$ is the slope and $b$ is the y-intercept.

STEP 3

We can determine the slope and y-intercept by comparing the equation $y=-x$ to the general form $y=mx+b$ .

STEP 4

In this case, the slope $m$ is the coefficient of $x$ , which is $-1$ .

STEP 5

The y-intercept $b$ is the constant term, which is $4$ .

STEP 6

Therefore, the graph of the equation $y=4-x$ is a line with slope $-1$ and y-intercept $4$ .
The correct answer is (c) a line with slope -1 and intercept4.

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QuestionThe graph of $y=4-x$ is: a) parabola, b) parabola, c) line (slope -1, intercept 4), d) line (slope 4, intercept -1), e) circle.

Studdy Solution

STEP 1

Assumptions1. The equation is $y=4-x$ . We need to determine the correct graphical representation of this equation

STEP 2

The equation $y=4-x$ is a linear equation, not a quadratic or a circle equation. We can tell this because it is in the form $y=mx+b$ , where $m$ is the slope and $b$ is the y-intercept.

STEP 3

We can determine the slope and y-intercept by comparing the equation $y=-x$ to the general form $y=mx+b$ .

STEP 4

In this case, the slope $m$ is the coefficient of $x$ , which is $-1$ .

STEP 5

The y-intercept $b$ is the constant term, which is $4$ .

STEP 6

Therefore, the graph of the equation $y=4-x$ is a line with slope $-1$ and y-intercept $4$ .
The correct answer is (c) a line with slope -1 and intercept4.

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QuestionThe graph of y=4−xy=4-xy=4−x is: a) parabola, b) parabola, c) line (slope -1, intercept 4), d) line (slope 4, intercept -1), e) circle.

Studdy Solution

STEP 1

Assumptions1. The equation is y=4−xy=4-xy=4−x . We need to determine the correct graphical representation of this equation

STEP 2

The equation y=4−xy=4-xy=4−x is a linear equation, not a quadratic or a circle equation. We can tell this because it is in the form y=mx+by=mx+by=mx+b, where mmm is the slope and bbb is the y-intercept.

STEP 3

We can determine the slope and y-intercept by comparing the equation y=−xy=-xy=−x to the general form y=mx+by=mx+by=mx+b.

STEP 4

In this case, the slope mmm is the coefficient of xxx, which is −1-1−1.

STEP 5

The y-intercept bbb is the constant term, which is 444.

STEP 6

Therefore, the graph of the equation y=4−xy=4-xy=4−x is a line with slope −1-1−1 and y-intercept 444.The correct answer is (c) a line with slope -1 and intercept4.

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Studdy solves anything!

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Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionThe graph of $y=4-x$ is: a) parabola, b) parabola, c) line (slope -1, intercept 4), d) line (slope 4, intercept -1), e) circle.

Assumptions1. The equation is $y=4-x$ . We need to determine the correct graphical representation of this equation

The equation $y=4-x$ is a linear equation, not a quadratic or a circle equation. We can tell this because it is in the form $y=mx+b$ , where $m$ is the slope and $b$ is the y-intercept.

We can determine the slope and y-intercept by comparing the equation $y=-x$ to the general form $y=mx+b$ .

In this case, the slope $m$ is the coefficient of $x$ , which is $-1$ .

The y-intercept $b$ is the constant term, which is $4$ .

Therefore, the graph of the equation $y=4-x$ is a line with slope $-1$ and y-intercept $4$ .
The correct answer is (c) a line with slope -1 and intercept4.