Graphing Linear Functions

Front

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

Back

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

Front

What does the 'm' represent in the slope-intercept form?

Back

The 'm' represents the slope of the line, indicating how steep the line is.

Front

What does the 'b' represent in the slope-intercept form?

Back

The 'b' represents the y-intercept, which is the point where the line crosses the y-axis.

Front

How do you find the slope from two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

If a line has a slope of 4, what does this mean?

Back

A slope of 4 means that for every 1 unit you move to the right, the line rises 4 units.

Front

How do you graph a line using the slope-intercept form?

Back

First, plot the y-intercept (b) on the y-axis, then use the slope (m) to find another point by rising and running.

Front

What is the slope of the line represented by the equation y = -2x + 5?

Back

The slope of the line is -2.

Front

What is the y-intercept of the line represented by the equation y = 3x - 1?

Back

The y-intercept is -1.