Graphing Using Slope-Intercept Form

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

In the equation y = mx + b, what does 'm' represent?

Back

'm' represents the slope of the line, indicating the rate of change of y with respect to x.

Front

What does the y-intercept represent in a graph?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of 'b' in the equation y = mx + b.

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 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 = -2x + 5?

Back

The y-intercept is 5.

Front

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

Back

A slope of 0 indicates a horizontal line.

Front

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

Back

An undefined slope indicates a vertical line.

Front

How do you graph the equation y = 1/2x - 1?

Back

Start at the y-intercept (0, -1) and use the slope (1/2) to rise 1 unit and run 2 units to the right.

Front

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

Back

The slope is -1.