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Pearson Algebra 1 Common Core, 2011 View details

5. Standard Form

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Exercise 47 Page 327

Can you enter the equation as it is currently written?

Graphing Calculator:

Sketch:

Practice makes perfect

To graph the equation, we first have to write it in slope-intercept form by solving for y.

x+3.5y=7

▼

Write in slope-intercept form

SubEqn

LHS-x=RHS-x

3.5y=- x+7

DivEqn

.LHS /3.5.=.RHS /3.5.

y=- x/3.5+7/3.5

CalcQuot

Calculate quotient

y=- x/3.5+2

MoveNumRight

a/b=1/b* a

y=- 1/3.5x+2

MoveNegNumToFrac

Put minus sign in front of fraction

y=- 1/3.5x+2

Having rewritten the equation, we can enter it in our calculator by pressing the Y= button and typing the function in one of the rows. When the equation has been entered in the calculator, we can push GRAPH to draw it.

To have a better look we will change the size of the window by pressing WINDOW and changing the settings.

From the graph we see that the equation intercepts the x-axis at (7,0) and the y-axis at (0,2). Since we only need two points to graph a linear equation, we can plot the graph using the intercepts.

Subchapter links

Lesson Check p.325

Practice and Problem-Solving Exercises p.326-328

Standardized Test Prep p.328

Mixed Review p.328

Exercise 47 Page 327

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