Question

a) Does the point (2,-1) lie on the line y=-3x+5?
b) Does the point (-4,10) lie on the parabola y=-2x^2 - 5x + 22?

Answer 1

`a) Does the point (2,-1) lie on the line y=-3x+5?`


the point (2,-1) means x = 2 and y = -1
replace x with 2 and y with -1. Then simplify each side


y=-3x+5
y=-3*2+5 ... replacing x with 2
-1=-3*2+5 ... replacing y with -1
-1=-6+5
-1=-1


Since we got -1=-1, which is true, it makes the original equation true. So the point (2,-1) is definitely on the line y=-3x+5

Answer 2

for part b), the same idea applies