What do you know???

Front

What is the point-slope form of a linear equation?

Back

The point-slope form of a linear equation is given by y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

Front

How do you find the slope from an equation in slope-intercept form?

Back

In the slope-intercept form y = mx + b, the slope (m) is the coefficient of x.

Front

What does the inequality k < 3 represent on a number line?

Back

The inequality k < 3 represents all values of k that are less than 3, which is shown as an open circle at 3 and a line extending to the left.

Front

How do you solve the equation 96 = -3(4x - 4)?

Back

To solve, first distribute: 96 = -12x + 12. Then, isolate x: 12x = 12 - 96, so x = -7.

Front

What is the solution to the equation -8 - 5a = 12 - 9a?

Back

To solve, first add 9a to both sides: -8 + 4a = 12. Then, add 8 to both sides: 4a = 20, so a = 5.

Front

What is the significance of the slope in a linear equation?

Back

The slope indicates the steepness of the line and the direction of the relationship between the variables; a positive slope means the line rises, while a negative slope means it falls.

Front

What is the difference between a linear equation and an inequality?

Back

A linear equation represents a straight line, while an inequality shows a range of values that satisfy a condition, often represented with a shaded region on a graph.

Front

How do you convert a linear equation from standard form to slope-intercept form?

Back

To convert from standard form Ax + By = C to slope-intercept form y = mx + b, solve for y in terms of x.

Front

What does it mean for a line to be parallel to another line?

Back

Two lines are parallel if they have the same slope but different y-intercepts, meaning they will never intersect.

Front

What is the formula for calculating the slope between two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).