Answer:
Explanation:
The graph of the equation Ax + By = c, where A and B are not both 0, represents a straight line in the coordinate plane.
To understand this, let's break down the equation:
- A and B are coefficients that determine the slope of the line. If A is not 0, the line is not vertical; if B is not 0, the line is not horizontal.
- x and y are variables that represent the coordinates of points on the line.
- c is a constant term that determines the y-intercept of the line.
The equation Ax + By = c can be rearranged to the slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept. By solving the equation for y, we get:
y = (-A/B)x + (c/B)
From this equation, we can see that the slope of the line is -A/B and the y-intercept is c/B.
So, in summary, the graph of the equation Ax + By = c, where A and B are not both 0, is a straight line in the coordinate plane with a slope of -A/B and a y-intercept of c/B.