Multiple Representations of Slope Intercept Form

Front

What is the slope in the equation: y=4x+3?

Back

The slope is 4.

Front

An airplane is flying at 20,000 ft and needs to ascend up to 35,000 ft to avoid a storm that is up ahead. The plane rises at a rate of 3,000 ft per minute. Which equation shows the height H of the plane after x minutes?

Back

H = 3,000x + 20,000

Front

What is the y-intercept in the following equation: y=-4x-5?

Back

The y-intercept is -5.

Front

Alan buys a new car for $25,000. It depreciates at a rate of $2000 per year. Which function can be used to find the value after x years?

Back

y= -2000x + 25000

Front

What is the algebraic equation for the following table?

Back

y = x - 3

Front

Define slope in the context of a linear equation.

Back

Slope is the measure of the steepness of a line, represented as the ratio of the rise (change in y) over the run (change in x).

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, indicating the value of y when x is 0.

Front

How do you identify the slope from the slope-intercept form of a linear equation?

Back

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

Front

What is the general form of a linear equation?

Back

The general form of a linear equation is Ax + By = C, where A, B, and C are constants.

Front

What does it mean for a line to have a negative slope?

Back

A negative slope indicates that as x increases, y decreases, resulting in a downward slant from left to right.