Slope and Slope Intercept

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, usually represented as 'm' in the equation of a line (y = mx + b). It is calculated as the change in y divided by the change in x (rise/run).

Front

What does the slope-intercept form of a line look like?

Back

The slope-intercept form of a line is written as y = mx + b, where 'm' is the slope and 'b' is the y-intercept.

Front

What is the y-intercept in the equation y = 3x + 5?

Back

The y-intercept is 5, which is the value of y when x = 0.

Front

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

Back

The slope (m) can be found using the formula m = (y2 - y1) / (x2 - x1).

Front

What is the slope of the line represented by the equation y = -2x + 4?

Back

The slope is -2.

Front

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

Back

A slope of 0 indicates that the line is horizontal.

Front

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

Back

An undefined slope indicates that the line is vertical.

Front

What is the equation of a line with a slope of 1 that passes through the origin?

Back

The equation is y = x.

Front

How do you convert the equation y = 2x + 3 into slope-intercept form?

Back

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

Front

What is the slope of the line represented by the equation y = -4/5x + 2?

Back

The slope is -4/5.