Graphing Linear Equations

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.

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x, indicating how steep the line is.

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the slope-intercept form.

Front

How do you find the y-intercept from the equation y = -2x + 6?

Back

The y-intercept is 6, which is the value of b in the equation.

Front

What is the equation of a line with a slope of 4 and a y-intercept of 3?

Back

The equation is y = 4x + 3.

Front

Which graph represents the equation y = -2x + 4?

Back

Graph A represents the equation y = -2x + 4.

Front

What is the slope of the line represented by the equation y = 5x - 3?

Back

The slope is 5.

Front

If a line has a slope of -1, what does this indicate about the line's direction?

Back

A slope of -1 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 = 0, where A, B, and C are constants.

Front

How do you convert the equation y = 4x + 3 to general form?

Back

Rearranging gives -4x + y - 3 = 0.