Slope

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, typically represented as 'm' in the slope-intercept form of a linear equation (y = mx + b). It is calculated as the change in y divided by the change in x (rise/run).

Front

What is the slope in the equation y = -1/3x + 2?

Back

-1/3

Front

What is the y-intercept in the equation y = -1/3x + 2?

Back

The y-intercept is the value of y when x = 0, which is 2.

Front

How do you find the slope from a linear equation in slope-intercept form?

Back

In the slope-intercept form y = mx + b, 'm' represents the slope.

Front

What is the y-intercept in the equation y = 3/2x + 3?

Back

The y-intercept is 3.

Front

Determine the slope and y-intercept from the equation y = 3/2x + 3.

Back

Slope: 3/2, Y-intercept: (0, 3).

Front

What is the slope of the line represented by the points (1, 2) and (3, 4)?

Back

The slope is (4-2)/(3-1) = 2/2 = 1.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases, meaning the line falls from left to right.

Front

What is the slope of the line represented by the equation y = -5/3x + 4?

Back

The slope is -5/3.

Front

What is the slope-intercept form of a line?

Back

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