Study Guide Review
Sign In
Substitute 0 for each of the variables and then solve the equation for the other variable.
x-intercept: 5/3
y-intercept: 5
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.
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.
3x+y=5
The x-intercept of the equation is 53.
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.
As a result, 5 is the y-intercept of the equation.