Pearson Algebra 1 Common Core, 2011
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Pearson Algebra 1 Common Core, 2011 View details
5. Standard Form
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Exercise 2 Page 325

Substitute for one variable and solve. Then, repeat for the other and graph.

Practice makes perfect

We will graph this equation by finding and plotting its intercepts. Then, we will connect them with a line. To find the and intercepts, we will need to substitute for one variable and solve. After that, repeat for the other variable.

Finding the intercept

Think of the point where the graph of an equation crosses the axis. The value of that coordinate pair is equal to and the value is the intercept. To find the intercept of the given equation, we should substitute for Then, solve for
An intercept of means that the graph passes through the axis at the point

Finding the intercept

Let's use the same concept to find the intercept. Consider the point where the graph of the equation crosses the axis. The value of the coordinate pair at the intercept is Therefore, substituting for will give us the intercept.
A intercept of means that the graph passes through the axis at the point

Graphing the Equation

We can now graph the equation by plotting the intercepts and connecting them with a line.