Substitute 0 for each of the variables and then solve the equation for the other variable.
x-intercept: 6 y-intercept: -4
Practice makes perfect
To determine the x-intercept for the given equation, we will substitute 0 for y and solve for x. To determine the y-intercept, we will substitute 0 for x and solve for y.
Finding the x-intercept
Think of the point where the graph of an equation crosses the x-axis. The y-value of that (x,y) coordinate pair is equal to 0, and the x-value is the x-intercept. Consider the given equation.
2x-3y=12As we have already said, let's substitute 0 for y and solve for x.
In the same way as above, now consider the point where the graph of the equation crosses the y-axis. The x-value of the (x,y) coordinate pair at the y-intercept is 0. Therefore, substituting 0 for x will give us the y-intercept.
