Pearson Algebra 1 Common Core, 2011
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Pearson Algebra 1 Common Core, 2011 View details
Chapter Review
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Exercise 4 Page 409

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

(- 8,- 11)

Practice makes perfect

By graphing the given equations, we can solve the system. If a solution exists, it 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 m and y-intercept b.

Write in Slope-Intercept Form

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

Given Equation Slope-Intercept Form Slope m y-intercept b
y=3x+13 y=3x+ 13 3 (0, 13)
y= x-3 y=1x+( -3) 1 (0, -3)

Graphing the System

To graph these equations, we will start by plotting their y-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 (-8,-11) is the solution to the system.