Flashback #43 (Mixed Review)

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 identify the slope from the equation y = -x + 2?

Back

The slope is -1, which indicates the line falls as it moves from left to right.

Front

What does the y-intercept represent in the equation y = -x + 2?

Back

The y-intercept is 2, meaning the line crosses the y-axis at the point (0, 2).

Front

What is the solution to the inequality 5 - (x - 4) > -2?

Back

x < 11.

Front

How do you solve the inequality 5 - (x - 4) > -2?

Back

First, simplify to get 9 - x > -2, then isolate x to find x < 11.

Front

What does it mean if a line has a negative slope?

Back

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

Front

What is the graphical representation of the equation y = -x + 2?

Back

The graph is a straight line that descends from left to right, crossing the y-axis at (0, 2).

Front

What is the significance of the point (0, b) in a linear equation?

Back

It represents the y-intercept, where the line crosses the y-axis.

Front

How can you check if a point lies on the line represented by y = -x + 2?

Back

Substitute the x-coordinate of the point into the equation and see if the resulting y-coordinate matches.

Front

What does the term 'inequality' mean in mathematics?

Back

An inequality is a mathematical statement that compares two expressions, showing that one is greater than, less than, or not equal to the other.