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Chapter 5: Q 5.5. (page 583)

Solve each system by graphing:

y=2x+2

y=-x-4

Short Answer

Expert verified

The solution is(-2,-2).

Step by step solution

01

Step 1. Given information 

The system of equations is

y=2x+2y=-x-4

02

Step 2. Find the slope and y-intercept of both equations.

First equation:

y=2x+2

Compare with the slope-intercept formula of line

y=mx+b

So,

m=2b=2

Second equation:

y=-x-4

Compare with the slope-intercept formula of line

y=mx+b

So,

m=-1b=-4

03

Step 3. Graph the two lines.

First equation:

y=2x+2

Slope is2

y-intercept is2

Second equation:

y=-x-4

Slope is-1

y-intercept is-4

Sketch the graph of equations using slope and intercept

So, the graph is

04

Step4. Determine the point of intersection.

The graph is

Since the intersection point is (-2,-2)

So, the solution is(-2,-2).

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