The standard form of a linear equation is Ax + By = C. If B = 0 and A and C are positive, which best describes the graph of this equation?
Well, if B= 0, the equation is merely
Ax = C or x = C/A
which is the equation of a vertical line
If B = 0, it means that there is no y-term in the equation. Therefore, the equation becomes Ax = C.
Since A and C are positive, the equation becomes a line with a positive slope (A/C). The y-coordinate does not affect the equation, so the line will be vertical and parallel to the y-axis.
In other words, the graph of this equation will be a vertical line passing through the point (C/A, 0) on the x-axis. Since A and C are positive, the line will be to the right of the y-axis.
To graph this equation, you can start by plotting the x-intercept at (C/A, 0), and then drawing a vertical line passing through that point.