Slope and Slope Intercept Review

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

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

If the slope (m) is 0, what does this indicate about the line?

Back

A slope of 0 indicates a horizontal line.

Front

What is the y-intercept in the equation y = 4x + 3?

Back

The y-intercept is 3.

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

Back

The slope is -2.

Front

How would you write the equation of a line with a slope of 1/4 and a y-intercept of 2?

Back

The equation is y = 1/4x + 2.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases.

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 3, what does this mean?

Back

It means that for every 1 unit increase in x, y increases by 3 units.