Step - by - Step Explanation
We are to graph the line:
4x - 4y = -32.
Before graphing the line, we need to know the points on this line. To determine those points, find the x and y-intercept of the line.
• Y - intercept
The y - intercept is the point at which x =0.
To find the y-intercept , put x =0 and sove for y.
That is;
4(0) - 4y = -32
-4y = -32
Divide both-side of the equation by -4.
y = 8
Hence, the y-intercept is (0, 8).
• X- intercept
The x - intercept is the point at which y=0.
To find the x - inetrecpt, put y=0 and solve for x.
That is;
4x - 4(0) = -32
4x = -32
Divide both-side of the equation by 4
x = -8
The x -ntercept is (-8, 0).
Hence, the points are (-8, 0) and (0, 8).
Attached below is the graph of the given line equation.