Standard Form Review

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, and A should be non-negative.

Front

How do you find the x-intercept of a linear equation?

Back

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

Front

How do you find the y-intercept of a linear equation?

Back

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

Front

What are intercepts in a graph?

Back

Intercepts are points where the graph crosses the axes: the x-intercept is where y=0, and the y-intercept is where x=0.

Front

What is the x-intercept of the line 2x + 4y = 12?

Back

The x-intercept is 6, found by setting y=0: 2x = 12, x = 6.

Front

What is the y-intercept of the line 2x + 4y = 12?

Back

The y-intercept is 3, found by setting x=0: 4y = 12, y = 3.

Front

What does it mean for a graph to have an x-intercept of 3?

Back

It means the graph crosses the x-axis at the point (3, 0).

Front

What does it mean for a graph to have a y-intercept of -1?

Back

It means the graph crosses the y-axis at the point (0, -1).

Front

How can you determine if a point is an intercept?

Back

A point is an intercept if it lies on the x-axis (y=0) or y-axis (x=0).

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.