Review: Slopes and Slope Intercept Form of a Line

Front

What is the slope-intercept form of a line?

Back

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

Front

How do you identify the slope from the equation y = mx + b?

Back

The slope (m) is the coefficient of x in the equation.

Front

What does the y-intercept represent in the equation y = mx + b?

Back

The y-intercept (b) represents the point where the line crosses the y-axis.

Front

Calculate the slope of the line passing through the points (1, 2) and (3, 6).

Back

The slope is 2, calculated as (6 - 2) / (3 - 1).

Front

What is the slope of the line represented by the equation y = -rac{1}{4}x + 2?

Back

The slope is -rac{1}{4}.

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 3 and a y-intercept of -2?

Back

The equation is y = 3x - 2.

Front

Find the slope of the line given the points (4, 5) and (4, 9).

Back

The slope is undefined because the x-coordinates are the same.

Front

What is the slope of the line represented by the equation y = 5x + 1?

Back

The slope is 5.