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.
[tex]y = -\frac{x}{3} + 2 [/tex]
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.
