You'll need to substitute 0 and solve for a variable twice before graphing.
X- and y-intercept: 0 Graph:
Practice makes perfect
We will graph this equation by finding and plotting its intercepts, then connecting them with a line. To find the x- and y-intercepts, we will need to substitute 0 for one variable, solve, then repeat for the other variable.
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. To find the x-intercept of the given equation, we should substitute 0 for y and solve for x.
An x-intercept of 0 means that the graph passes through the x-axis at the point ( 0,0).
Finding the y-intercept
Let's use the same concept to find the y-intercept. 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.
A y-intercept of 0 means that the graph passes through the y-axis at the point (0, 0).
Graphing the Equation
We can now graph the equation by plotting the intercepts and connecting them with a line. In our case the x-intercept and y-intercept are exactly the same point, the origin.
