Question

For the following equation y = 7 x - 5 , which of the given ordered pairs are solutions (-5, 0) (0, -5) (0, 0) (1, 2) (-2, -19)?

Answer 1

Point `(-5,0)` is not a point on the line.
Point `(0,-5)` is a point on the line.
Point `(1,2)` is a point on the line.
Point `(-2,-19)` is a point on the line.

Explanation:

The given equation is -

`y=7x-5`

To find whether the given points are on the line, we have to plug them in and verify whether they satisfy the equation.

To do this let us rewrite the equation -

`7x-5=y`

At `(-5,0); 7(-5)-5=0; -35-5!=0`
Point `(-5,0)` is not a point on the line.

At `(0,-5); 7(0)-5=-5; 0-5=-5`
Point `(0,-5)` is a point on the line.

At `(0,0); 7(0)-5=0; 0-5!=0`
Point `(0,0)` is not a point on the line.

At `(1,2); 7(1)-5=2; 7-5=2`
Point `(1,2)` is a point on the line.

At `(-2,-19); 7(-2)-5=-19; -14-5=-19`
Point `(-2,-19)` is a point on the line.