Question

Identify each part of the slope-intercept form of an equation and give an example. Differentiate between the x-intercept and the y-intercept.

Plot the following equation: x + 3y = 6. Attach your graph to your respon

Answer 1

Generally, the slope-intercept form is expressed as y = mx + b where m is the slope and b is the y-intercept of the equation. For example, if we have y = 4x - 5. 4 represents the slope and -5 is the value of the y-intercept.

The x-intercept is the value of x when y is zero and y-intercept is the value of y when x is zero.

Given the equation x + 3y = 6, we can rearrange the equation so that the equation is in its slope-intercept form as shown below.


`y = -(x)/(3) + 2`

We can assign values for x and substitute them into the equation to find the value of y as shown in the table below.

x y
-9 5
-6 4
-3 3
0 2
3 1
6 0
9 -1

Plotting these values into an x-y plot, we have a graph as shown in the attached image.