Question

Select all statements that are true about the linear equation.

Answer 1

Answer:

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

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

The point (0, −3) is on the graph of the equation

Step-by-step explanation:

we have

$y=4x-3$

This is the equation of a line in slope intercept form

Verify each statements

case 1) The graph of the equation is the set of all points that are solutions to the equation.

The statement is true

Because, if a ordered point is a solution of the linear equation, then the ordered pair lie on the line

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

The statement is true

Because

If a ordered pair is on the graph of the equation, then the ordered pair must satisfy the equation

Substitute the value of x and y in the linear equation

For x=1, y=1

$1=4(1)-3$

$1=1$ ----> is true

therefore

The point (1,1) is on the graph of the equation

case 3) The point (0, −3) is on the graph of the equation.

The statement is true

Because

If a ordered pair is on the graph of the equation, then the ordered pair must satisfy the equation

Substitute the value of x and y in the linear equation

For x=0, y=-3

$-3=4(0)-3$

$-3=-3$ ----> is true

therefore

The point (0, −3) is on the graph of the equation

case 4) The graph of the equation is a single point representing one solution to the equation.

The statement is false

Because, the graph of the equation is the set of all points that are solutions to the equation