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?
a vertical line to the right of the y-axis
What I do
If b = 0 in the standard form of a linear equation, it means that the equation has no term involving y. Therefore, the equation becomes Ax = c.
When A and c are positive, it implies that both A and c are greater than zero. In this case, the graph of the equation Ax = c will be a vertical line.
The line will intersect the x-axis at the point (c/A, 0) and will be parallel to the y-axis. It will extend infinitely both above and below the x-axis.
In summary, when b = 0 and A and c are positive, the graph of the equation will be a vertical line parallel to the y-axis.
In the standard form of a linear equation, Ax + By = c, if b = 0, it means that there is no y-term in the equation. This indicates that the equation is in the form of Ax = c, which can be simplified as y = c/A.
Since A and c are both positive, it means that the equation represents a line that is parallel to the x-axis and has a positive slope. This is because the coefficient of y is zero, indicating that the value of y remains constant for all values of x.
Overall, the graph of this linear equation will be a horizontal line that intersects the y-axis at the point (0, c/A). The line will be parallel to the x-axis and have a positive y-intercept.