Practice for Finals - Slope Basics

Front

What is the slope-intercept form of a linear equation?

Back

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

Front

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

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What does a slope of 0 indicate about a line?

Back

A slope of 0 indicates that the line is horizontal.

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates that the line is vertical.

Front

If a line has a slope of 12 and a y-intercept of 10, what is the equation of the line?

Back

The equation of the line is y = 12x + 10.

Front

What is the slope of a line that passes through the points (6, 7) and (4, 2)?

Back

The slope of the line is 5/2.

Front

What is the slope of a line that passes through the points (2, 4) and (2, 12)?

Back

The slope of the line is undefined.

Front

What does it mean if two lines are perpendicular in terms of slope?

Back

Two lines are perpendicular if the product of their slopes is -1.

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the slope-intercept form.

Front

How can you determine if a line is increasing or decreasing based on its slope?

Back

A line is increasing if the slope is positive and decreasing if the slope is negative.