Final answer:
To graph a linear equation in the form ax + by = c, rearrange it to y = mx + b, where m is the slope and b is the y-intercept. Substitute the x-values of the given coordinates into the equation to find the corresponding y-values. All the given coordinates (A, B, C, and D) are on the line defined by the equation ax + by = c.
Step-by-step explanation:
To graph the linear equation ax + by = c, we need to rearrange it in the form y = mx + b, where m is the slope and b is the y-intercept.
For example, let's say the equation is 2x + 3y = 6. Rearranging it, we get 3y = -2x + 6. Dividing by 3, we have y = (-2/3)x + 2. Now we can see that the slope is -2/3 and the y-intercept is 2.
To find the coordinates on the line defined by the equation, we can substitute the x-values of the given options into the equation and solve for y. The coordinates that satisfy the equation will be on the line.
Let's check the given options: A. (2, 4) B. (1, 3) C. (-1, -2) D. (0, 1)
Substituting the x-values into the rearranged equation, we find that all the given options satisfy the equation. Therefore, all the coordinates (A, B, C, and D) are on the line defined by the equation ax + by = c.