Algebra 1: Linear Functions 1

Front

What is the slope of a line?

Back

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

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 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

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

Back

y = -x + 3.

Front

What does a slope of zero indicate about a line?

Back

A slope of zero 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

Find the slope of the line that passes through the points (1, 2) and (3, 6).

Back

The slope is 2.

Front

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

Back

The y-intercept is 5.

Front

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

Back

If the slope is positive, the line is increasing. If the slope is negative, the line is decreasing.

Front

Find the slope of the line that passes through the points (-3, -2) and (-5, -8).

Back

The slope is 3.