Slope using multiple representations

Front

What is the slope-intercept equation?

Back

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

Front

What does the slope represent in a linear equation?

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 in the equation y = mx + b?

Back

The y-intercept is the value of y when x = 0, represented by b in the equation.

Front

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

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Front

What is an undefined slope?

Back

An undefined slope occurs in a vertical line where the change in x is 0, making the slope calculation impossible.

Front

Write the slope-intercept form of the equation for a line with a slope of 2 and a y-intercept of -3.

Back

y = 2x - 3.

Front

What is the slope of the line represented by the equation y = -4x + 6?

Back

The slope is -4.

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

Convert the equation y = 3x + 2 to slope-intercept form.

Back

The equation is already in slope-intercept form: y = 3x + 2.

Front

What is the slope of the line represented by the equation y = 1/2x - 5?

Back

The slope is 1/2.