QuestionGraph the line represented by the equation $y = 2x$ .

Studdy Solution

STEP 1

Assumptions1. We are graphing the line in a-dimensional Cartesian coordinate system. . The equation of the line is given as $y =x$ .

STEP 2

The equation of the line is in the form $y = mx + c$ , where $m$ is the slope of the line and $c$ is the y-intercept. In our case, the slope $m =2$ and the y-intercept $c =0$ .

STEP 3

To graph the line, we need at least two points on the line. We can get these points by choosing two values for $x$ and calculating the corresponding $y$ values using the equation $y =2x$ .

STEP 4

Let's choose $x =0$ and $x =1$ as our two $x$ values.

STEP 5

When $x =0$ , we substitute into the equation to get the corresponding $y$ value.
$y =2 \times0 =0$ So, the point $(0,0)$ is on the line.

STEP 6

When $x =1$ , we substitute into the equation to get the corresponding $y$ value.
$y =2 \times1 =2$ So, the point $(1,2)$ is on the line.

STEP 7

Now that we have two points, $(0,0)$ and $(1,2)$ , we can plot these points on the Cartesian coordinate system.

STEP 8

Draw a line through the points $(0,0)$ and $(1,2)$ . This line represents the graph of the equation $y =2x$ .

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QuestionGraph the line represented by the equation $y = 2x$ .

Studdy Solution

STEP 1

Assumptions1. We are graphing the line in a-dimensional Cartesian coordinate system. . The equation of the line is given as $y =x$ .

STEP 2

The equation of the line is in the form $y = mx + c$ , where $m$ is the slope of the line and $c$ is the y-intercept. In our case, the slope $m =2$ and the y-intercept $c =0$ .

STEP 3

To graph the line, we need at least two points on the line. We can get these points by choosing two values for $x$ and calculating the corresponding $y$ values using the equation $y =2x$ .

STEP 4

Let's choose $x =0$ and $x =1$ as our two $x$ values.

STEP 5

When $x =0$ , we substitute into the equation to get the corresponding $y$ value.
$y =2 \times0 =0$ So, the point $(0,0)$ is on the line.

STEP 6

When $x =1$ , we substitute into the equation to get the corresponding $y$ value.
$y =2 \times1 =2$ So, the point $(1,2)$ is on the line.

STEP 7

Now that we have two points, $(0,0)$ and $(1,2)$ , we can plot these points on the Cartesian coordinate system.

STEP 8

Draw a line through the points $(0,0)$ and $(1,2)$ . This line represents the graph of the equation $y =2x$ .

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QuestionGraph the line represented by the equation y=2xy = 2xy=2x.

Studdy Solution

STEP 1

Assumptions1. We are graphing the line in a-dimensional Cartesian coordinate system. . The equation of the line is given as y=xy =xy=x.

STEP 2

The equation of the line is in the form y=mx+cy = mx + cy=mx+c, where mmm is the slope of the line and ccc is the y-intercept. In our case, the slope m=2m =2m=2 and the y-intercept c=0c =0c=0.

STEP 3

To graph the line, we need at least two points on the line. We can get these points by choosing two values for xxx and calculating the corresponding yyy values using the equation y=2xy =2xy=2x.

STEP 4

Let's choose x=0x =0x=0 and x=1x =1x=1 as our two xxx values.

STEP 5

When x=0x =0x=0, we substitute into the equation to get the corresponding yyy value.y=2×0=0y =2 \times0 =0y=2×0=0So, the point (0,0)(0,0)(0,0) is on the line.

STEP 6

When x=1x =1x=1, we substitute into the equation to get the corresponding yyy value.y=2×1=2y =2 \times1 =2y=2×1=2So, the point (1,2)(1,2)(1,2) is on the line.

STEP 7

Now that we have two points, (0,0)(0,0)(0,0) and (1,2)(1,2)(1,2), we can plot these points on the Cartesian coordinate system.

STEP 8

Draw a line through the points (0,0)(0,0)(0,0) and (1,2)(1,2)(1,2). This line represents the graph of the equation y=2xy =2xy=2x.

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QuestionGraph the line represented by the equation $y = 2x$ .

Assumptions1. We are graphing the line in a-dimensional Cartesian coordinate system. . The equation of the line is given as $y =x$ .

The equation of the line is in the form $y = mx + c$ , where $m$ is the slope of the line and $c$ is the y-intercept. In our case, the slope $m =2$ and the y-intercept $c =0$ .

To graph the line, we need at least two points on the line. We can get these points by choosing two values for $x$ and calculating the corresponding $y$ values using the equation $y =2x$ .

Let's choose $x =0$ and $x =1$ as our two $x$ values.

When $x =0$ , we substitute into the equation to get the corresponding $y$ value.
$y =2 \times0 =0$ So, the point $(0,0)$ is on the line.

When $x =1$ , we substitute into the equation to get the corresponding $y$ value.
$y =2 \times1 =2$ So, the point $(1,2)$ is on the line.

Now that we have two points, $(0,0)$ and $(1,2)$ , we can plot these points on the Cartesian coordinate system.

Draw a line through the points $(0,0)$ and $(1,2)$ . This line represents the graph of the equation $y =2x$ .