Answer:
The given point A (6,13) lies on the equation. True
The given point B(21,33) lies on the equation. True
The given point C (99, 137) lies on the equation. True
Step-by-step explanation:
Here, the given equation is : [tex]y =\frac{4}{3} x + 5[/tex]
Now,check the given equation for the given points.
1) A (6,13)
Substitute x = 6 in the given equation[tex]y =\frac{4}{3} x + 5[/tex]
[tex]y =\frac{4}{3} (6) + 5 = 4(2) + 5 = 8 + 5 = 13[/tex]
⇒ y= 13
Hence, the given point A (6,13) lies on the equation.
2) B (21,33)
Substitute x = 21 in the given equation[tex]y =\frac{4}{3} x + 5[/tex]
[tex]y =\frac{4}{3} (21) + 5 = 4(7) + 5 = 28 + 5 = 33[/tex]
⇒ y = 33
Hence, the given point B(21,33) lies on the equation.
3) C (99, 137)
Substitute x = 99 in the given equation[tex]y =\frac{4}{3} x + 5[/tex]
[tex]y =\frac{4}{3} (99) + 5 = 4(33) + 5 = 132 + 5 = 137[/tex]
⇒ y = 137
Hence, the given point C (99, 137) lies on the equation.
