Math  /  Algebra

QuestionFor the following equation, find three ordered pair solutions by completing the table. Then use the ordered pairs to graph the equation. y=2xy=2 x
To graph this linear equation, find three ordered pair solutions. Since this equation is solved for yy, choose three values for xx.
If x=0,y=20=x=0, y=2 \cdot 0= \square

Studdy Solution

STEP 1

1. The equation y=2x y = 2x is a linear equation in two variables.
2. We need to find three ordered pairs (x,y)(x, y) that satisfy the equation.
3. We will choose three different values for x x and calculate the corresponding y y values.
4. The ordered pairs will be used to plot the graph of the equation.

STEP 2

1. Choose values for x x .
2. Calculate corresponding y y values.
3. Form ordered pairs (x,y)(x, y).
4. Graph the ordered pairs on a coordinate plane.

STEP 3

Choose three values for x x . Common choices are x=0 x = 0 , x=1 x = 1 , and x=1 x = -1 .

STEP 4

Calculate y y when x=0 x = 0 :
y=20=0 y = 2 \cdot 0 = 0

STEP 5

Calculate y y when x=1 x = 1 :
y=21=2 y = 2 \cdot 1 = 2

STEP 6

Calculate y y when x=1 x = -1 :
y=2(1)=2 y = 2 \cdot (-1) = -2

STEP 7

Form the ordered pairs using the calculated values:
1. (0,0)(0, 0)
2. (1,2)(1, 2)
3. (1,2)(-1, -2)

STEP 8

Plot the ordered pairs (0,0)(0, 0), (1,2)(1, 2), and (1,2)(-1, -2) on a coordinate plane.
Draw a straight line through the points to represent the graph of the equation y=2x y = 2x .

Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord