Practice 12-19-24

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 do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Front

What does it mean for a table to represent a function?

Back

A table represents a function if each input (x-value) corresponds to exactly one output (y-value).

Front

What is the definition of a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed, typically in the form y = mx + b.

Front

How do you convert the equation 6x - 2y = 10 into slope-intercept form?

Back

Rearranging gives y = 3x - 5.

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in y = mx + b.

Front

What is the formula for evaluating absolute value?

Back

The absolute value of a number is its distance from zero on the number line, denoted as |x|.

Front

How do you evaluate the expression |10p - 7q| when p = 9 and q = 2?

Back

Substituting gives |10(9) - 7(2)| = |90 - 14| = |76| = 76.

Front

What is the slope of the line represented by the equation y = 1/3x - 2?

Back

The slope of the line is 1/3.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that the line descends from left to right.