Answer:
The four pairs of x and y values that make the equation true are (0,2),(-1.333,0),(1,3.5), (-0.666,1).
Step-by-step explanation:
Given : Equation [tex]y=1.5x+2[/tex]
To find : Four pairs of x and y values that make the equation true. Plot the points (x, y) on the coordinate plane.
Solution :
We take different values of x and y,
1) Take x=0,
[tex]y=1.5(0)+2=2[/tex]
The point is (0,2).
2) Take y=0,
[tex]0=1.5x+2[/tex]
[tex]x=\frac{-2}{1.5}[/tex]
[tex]x=-1.333[/tex]
The point is (-1.333,0).
3) Take x=1,
[tex]y=1.5(1)+2[/tex]
[tex]y=3.5[/tex]
The point is (1,3.5).
4) Take y=1,
[tex]1=1.5x+2[/tex]
[tex]1.5x=-1[/tex]
[tex]x=\frac{-1}{1.5}[/tex]
[tex]x=-0.666[/tex]
The point is (-0.666,1).
The four pairs of x and y values that make the equation true are (0,2),(-1.333,0),(1,3.5), (-0.666,1).
Refer the attached figure below.
