Slope and Y-Intercept

Front

What is the definition of slope in a linear equation?

Back

The slope (m) of a line is a measure of its steepness, calculated as the change in y (vertical change) divided by the change in x (horizontal change).

Front

What is the y-intercept in a linear equation?

Back

The y-intercept (b) is the point where the line crosses the y-axis, represented as 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 a line that rises 3 units for every 2 units it runs?

Back

The slope (m) is 3/2.

Front

What is the slope of a line that falls 1 unit for every 4 units it runs?

Back

The slope (m) is -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 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

How can you determine the y-intercept from the equation y = 2x + 5?

Back

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

Front

What does a positive slope indicate about the direction of a line?

Back

A positive slope indicates that the line rises from left to right.