Understanding Solutions

Front

Solutions to linear equations appear as __________ on a graph.

Back

points ON the line.

Front

A point (x,y) is a solution to a linear equation if...

Back

the x and y value make the equation TRUE.

Front

Back

(1,4)

Front

Which of the following is a solution to the line shown?

Back

(-2,0)

Front

Back

(2,5)

Front

What is a linear equation?

Back

Front

What does the slope (m) represent in a linear equation?

Back

The rate of change of y with respect to x.

Front

What is the y-intercept in a linear equation?

Back

Front

How can you determine if a point is a solution to a linear equation?

Back

Substitute the x and y values into the equation; if the equation holds true, the point is a solution.

Front

What is the significance of the graph of a linear equation?

Back

It visually represents all possible solutions to the equation.