Solutions to Linear Equations 2024

Front

What is a solution to a linear equation?

Back

A solution to a linear equation is an ordered pair (x, y) that makes the equation true.

Front

What does the equation y = 3x + 2 represent?

Back

It represents a linear function where the slope is 3 and the y-intercept is 2.

Front

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

Back

Substitute the x-value of the point into the equation and see if the resulting y-value matches the y-value of the point.

Front

What is the slope of the line represented by the equation y = 4x + 3?

Back

The slope is 4.

Front

What is the y-intercept of the equation y = 5x?

Back

The y-intercept is 0, as the line crosses the y-axis at (0,0).

Front

Which of the following points is a solution to the equation y = 5x? (1,5), (1,-5)

Back

(1,5) is a solution.

Front

What does the term 'ordered pair' mean in the context of linear equations?

Back

An ordered pair (x, y) represents a specific point on the Cartesian plane.

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, indicating the value of y when x = 0.

Front

If a line has a slope of -1, what does that indicate about its direction?

Back

It indicates that the line descends from left to right.

Front

What is the general form of a linear equation?

Back

The general form is Ax + By = C, where A, B, and C are constants.