Question

Select all statements that are true about the linear equation.

y=-x-1

A coordinate pair on the graph of the equation is a solution to the equation.

The point (0, −1) lies on the graph of the equation.

The graph of the equation is the set of points that are solutions to the equation.

The point (1, 2) lies on the graph of the equation.

Answer 1

For Future Students the answer's are listed below. Trust me guys these are the right answers because I took this and got an A on it. Hope this helped someone.

Answers:

The graph of the equation is the set of points that are solutions to the equation.

A coordinate pair on the graph of the equation is a solution to the equation.

The point (0, −1) lies on the graph of the equation.

Answer 2

The equation
`y=-x-1` is in the form of linear equation
`y=mx+c`, where m is the gradient and c is the y-intercept.

Option A:
A coordinate pair on the graph of the equation is a solution to the equation. (TRUE)
The pair of coordinates that lie on the line is the solution to the equation

Option B:
The point (0, −1) lies on the graph of the equation.
Let substitute the value of x = 0 into
`y=-x-1` and check if we get y = -1 as an answer

`y=-(0)-1`

`y=-1`
So the statement is TRUE

Option C:
The graph of the equation is the set of points that are solutions to the equation. (TRUE)
To draw the straight line, we would need few sets of coordinates to plot on the graph.

Option D:
The point (1, 2) lies on the graph of the equation. (FALSE)
Substituting x = 1 into the equation
`y=-x-1` and check if we get the answer of y = 2

`y=-x-1`

`y=-(1)-1`

`y=-2`