Study Guide #2 Slope-Intercept Form and Literal Equations

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 solve for a variable in a literal equation?

Back

To solve for a variable, isolate it on one side of the equation using algebraic operations.

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x, indicating how steep the line is.

Front

How do you convert the equation 12x - 6y = 30 to slope-intercept form?

Back

Rearranging gives y = 2x - 5.

Front

What is the value of the slope in the equation 12x - 6y = 30?

Back

The slope is 2.

Front

What is the formula to solve for m in the equation F = ma?

Back

m = \frac{F}{a}.

Front

How do you write the equation 8x + 4y = 16 in slope-intercept form?

Back

Rearranging gives y = -2x + 4.

Front

What is the y-intercept in the equation y = -2x + 4?

Back

The y-intercept is 4.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as x increases, y also increases.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases.