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:
https://brainly.com/question/14323743
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