Question

Quick algebra 1 assignment for 50 points!

Answer 1

See below for the demonstration of (e) graphing a line using x- and y-intercepts

The graphing method to demonstrate

To solve this question, we make demonstrate (e) graphing a line using x- and y-intercepts

The learning goals

At the end of this exercise, you should be able to graph a line using x- and y-intercepts

A brief overview

A linear equation is represented as:

Ax + By = C

Where:

• y-intercept = C/B
• x-intercept = C/A

This means that we plot the points (0,C/B) and (C/A, 0) on a graph and then connect the points using a straight line.

Once this is done, the line has been graphed.

For instance, a line parallel to 3x + 8y = 16 will have a slope of -3/8

An original problem to solve

Plot the graph of the following equation using the intercepts

2x + 4y = 10

We have:

2x + 4y = 10

Set x = 0 to determine the y-intercept

4y = 10

Divide by 4

y = 2.5

Set x = 0 to determine the x-intercept

2x = 10

Divide by 2

x = 5

So, we have:

(5, 0) and (0, 2.5)

Plot the above points and connect the points (see attachment for graph)

An original problem to solve by another student

Plot the graph of the following equation using the intercepts

3x + 6y = 18

We have:

3x + 6y = 18

Set x = 0 to determine the y-intercept

6y = 18

Divide by 6

y = 3

Set x = 0 to determine the x-intercept

3x = 18

Divide by 3

x = 6

So, we have:

(6, 0) and (0, 3)

Plot the above points and connect the points (see attachment for graph)

Read more about linear equations at:

brainly.com/question/14323743

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