12/10 Warm-up

Front

What does it mean for two linear equations to be perpendicular?

Back

Two linear equations are perpendicular if the product of their slopes is -1.

Front

How can you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope and different y-intercepts.

Front

What is the standard form of a linear equation?

Back

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

Front

What does the term 'decreased by' indicate in an inequality?

Back

'Decreased by' indicates subtraction in an inequality.

Front

How do you solve the equation 2(3x + 4) + 2 = 4 + 3x?

Back

Distribute to get 6x + 8 + 2 = 4 + 3x, then simplify to 6x + 10 = 4 + 3x. Subtract 3x from both sides to get 3x + 10 = 4, then subtract 10 to find x = -2.

Front

Back

The solution is x = 15.

Front

What does the inequality 'no more than' signify?

Back

'No more than' signifies a less than or equal to (≤) relationship.

Front

How do you interpret the slope of a line in a graph?

Back

The slope of a line indicates the rate of change of y with respect to x.

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

What does it mean for two lines to be parallel in terms of their slopes?

Back

Two lines are parallel if they have identical slopes.