QuestionGraph the line through the point $(-4,-3)$ with slope $m=4$ .

Studdy Solution

STEP 1

Assumptions1. We have a point (-4,-3) through which the line passes. . The slope of the line, m, is4.
3. We are working in a two-dimensional Cartesian coordinate system.

STEP 2

The equation of a line in slope-intercept form is given by $y = mx + b$ where m is the slope of the line and b is the y-intercept.

STEP 3

We know the slope m is, so we can substitute this into the equation $y =x + b$

STEP 4

We also know that the line passes through the point (-4,-3). We can substitute these values into the equation to solve for b $-3 =4(-4) + b$

STEP 5

olve for b $-3 = -16 + b$ $b = -3 +16$ $b =13$

STEP 6

Now that we have the y-intercept, we can write the equation of the line $y =4x +13$

STEP 7

To graph the line, we can start by plotting the y-intercept (0,13) on the y-axis.

STEP 8

Since the slope is4, we can go up4 units and to the right1 unit from the y-intercept to find another point on the line.

STEP 9

Repeat this process to find more points and draw the line through these points.
The line passing through the point (-4,-3) and having the slope4 is represented by the equation $y =4x +13$ and its graph is a straight line passing through the points (-4,-3) and (,13) among others.

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QuestionGraph the line through the point $(-4,-3)$ with slope $m=4$ .

Studdy Solution

STEP 1

Assumptions1. We have a point (-4,-3) through which the line passes. . The slope of the line, m, is4.
3. We are working in a two-dimensional Cartesian coordinate system.

STEP 2

The equation of a line in slope-intercept form is given by $y = mx + b$ where m is the slope of the line and b is the y-intercept.

STEP 3

We know the slope m is, so we can substitute this into the equation $y =x + b$

STEP 4

We also know that the line passes through the point (-4,-3). We can substitute these values into the equation to solve for b $-3 =4(-4) + b$

STEP 5

olve for b $-3 = -16 + b$ $b = -3 +16$ $b =13$

STEP 6

Now that we have the y-intercept, we can write the equation of the line $y =4x +13$

STEP 7

To graph the line, we can start by plotting the y-intercept (0,13) on the y-axis.

STEP 8

Since the slope is4, we can go up4 units and to the right1 unit from the y-intercept to find another point on the line.

STEP 9

Repeat this process to find more points and draw the line through these points.
The line passing through the point (-4,-3) and having the slope4 is represented by the equation $y =4x +13$ and its graph is a straight line passing through the points (-4,-3) and (,13) among others.

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QuestionGraph the line through the point (−4,−3)(-4,-3)(−4,−3) with slope m=4m=4m=4.

Studdy Solution

STEP 1

Assumptions1. We have a point (-4,-3) through which the line passes. . The slope of the line, m, is4.3. We are working in a two-dimensional Cartesian coordinate system.

STEP 2

The equation of a line in slope-intercept form is given byy=mx+by = mx + by=mx+bwhere m is the slope of the line and b is the y-intercept.

STEP 3

We know the slope m is, so we can substitute this into the equationy=x+by =x + by=x+b

STEP 4

We also know that the line passes through the point (-4,-3). We can substitute these values into the equation to solve for b−3=4(−4)+b-3 =4(-4) + b−3=4(−4)+b

STEP 5

olve for b−3=−16+b-3 = -16 + b−3=−16+bb=−3+16b = -3 +16b=−3+16b=13b =13b=13

STEP 6

Now that we have the y-intercept, we can write the equation of the liney=4x+13y =4x +13y=4x+13

STEP 7

To graph the line, we can start by plotting the y-intercept (0,13) on the y-axis.

STEP 8

Since the slope is4, we can go up4 units and to the right1 unit from the y-intercept to find another point on the line.

STEP 9

Repeat this process to find more points and draw the line through these points.The line passing through the point (-4,-3) and having the slope4 is represented by the equation y=4x+13y =4x +13y=4x+13 and its graph is a straight line passing through the points (-4,-3) and (,13) among others.

Get Studdy

Studdy solves anything!

Start learning now

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

QuestionGraph the line through the point $(-4,-3)$ with slope $m=4$ .

Assumptions1. We have a point (-4,-3) through which the line passes. . The slope of the line, m, is4.
3. We are working in a two-dimensional Cartesian coordinate system.

The equation of a line in slope-intercept form is given by $y = mx + b$ where m is the slope of the line and b is the y-intercept.

We know the slope m is, so we can substitute this into the equation $y =x + b$

We also know that the line passes through the point (-4,-3). We can substitute these values into the equation to solve for b $-3 =4(-4) + b$

olve for b $-3 = -16 + b$ $b = -3 +16$ $b =13$

Now that we have the y-intercept, we can write the equation of the line $y =4x +13$

Repeat this process to find more points and draw the line through these points.
The line passing through the point (-4,-3) and having the slope4 is represented by the equation $y =4x +13$ and its graph is a straight line passing through the points (-4,-3) and (,13) among others.