Pearson Algebra 1 Common Core, 2011
PA
Pearson Algebra 1 Common Core, 2011 View details
5. Standard Form
Continue to next subchapter

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
â–Ľ
Write in slope-intercept form
3.5y=- x+7
y=- x/3.5+7/3.5
y=- x/3.5+2
y=- 1/3.5x+2
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.