QSE1- A.3C Key Feature of Linear Equations

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed. It can be written in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the x-intercept of a graph?

Back

The x-intercept is the point where the graph crosses the x-axis. At this point, the value of y is 0.

Front

What is the y-intercept of a graph?

Back

The y-intercept is the point where the graph crosses the y-axis. At this point, the value of x is 0.

Front

How do you find the x-intercept of the equation y = mx + b?

Back

To find the x-intercept, set y = 0 and solve for x.

Front

How do you find the y-intercept of the equation y = mx + b?

Back

To find the y-intercept, set x = 0 and solve for y.

Front

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

Back

The slope (m) represents the rate of change of y with respect to x. It indicates how steep the line is.

Front

What is the standard form of a linear equation?

Back

The standard form of a linear equation is Ax + By = C, where A, B, and C are integers.

Front

What is the significance of the point (0, b) in a linear equation?

Back

The point (0, b) represents the y-intercept of the linear equation, where the line crosses the y-axis.

Front

How can you determine if a point is an x-intercept?

Back

A point is an x-intercept if its coordinates are of the form (a, 0), meaning the y-coordinate is 0.

Front

How can you determine if a point is a y-intercept?

Back

A point is a y-intercept if its coordinates are of the form (0, b), meaning the x-coordinate is 0.