McGraw Hill Glencoe Algebra 1 Texas, 2016
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McGraw Hill Glencoe Algebra 1 Texas, 2016 View details
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Exercise 9 Page 379

Are the equations in slope-intercept form? What information can the slope-intercept form of an equation give you?

Number of Solutions: One
Solution:
Graph:

Practice makes perfect

By graphing the given equations, we can determine the number of solutions to the system. This will be the point at which the lines intersect. To do this, we will need the equations to be in slope-intercept form to help us identify the slope and intercept

Write in Slope-Intercept Form

Let's rewrite each of the equations in the system in slope-intercept form, highlighting the and values.

Given Equation Slope-Intercept Form Slope intercept

Graphing the System

To graph these equations, we will start by plotting their intercepts. Then, we will use the slope to determine another point that satisfies each equation, and connect the points with a line.

We can see that the lines intersect at exactly one point.

The point of intersection at is the one solution to the system.