Graphing Linear Functions

Front

What is the equation of a line in slope-intercept form?

Back

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

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x.

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis (x=0).

Front

How do you convert the standard form of a linear equation (Ax + By = C) to slope-intercept form (y = mx + b)?

Back

Solve for y to isolate it on one side of the equation.

Front

What is the slope of the line represented by the equation y = 3x + 2?

Back

The slope is 3.

Front

What is the y-intercept of the line represented by the equation y = -4x + 5?

Back

The y-intercept is 5.

Front

If a line has a slope of 0, what does that indicate about the line?

Back

The line is horizontal.

Front

If a line has an undefined slope, what does that indicate about the line?

Back

The line is vertical.

Front

What is the slope of the line represented by the equation y = -2x - 1?

Back

The slope is -2.