Select all statements that are true about the linear equation.
1 answer:
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
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
----> 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
----> 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
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