4.2 Warm Up

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 determine if a point is part of the solution set for an inequality?

Back

Substitute the point's coordinates into the inequality. If the inequality holds true, the point is part of the solution set.

Front

What does the inequality symbol '≤' indicate?

Back

The symbol '≤' means 'less than or equal to', indicating that the value on the left can be less than or equal to the value on the right.

Front

How do you solve the equation 2x + 2y = 6 for y?

Back

Rearranging gives y = -x + 3.

Front

What is the meaning of the term 'solution set' in the context of inequalities?

Back

The solution set is the set of all values that satisfy the inequality.

Front

What does the graph of y ≤ 2/5x + 1 look like?

Back

It is a shaded region below the line y = 2/5x + 1, including the line itself.

Front

How do you graph the inequality y ≥ -2/5x + 1?

Back

Graph the line y = -2/5x + 1 as a solid line and shade above the line.

Front

What is the first step in solving the inequality 30 + n ≥ 50?

Back

Subtract 30 from both sides to isolate n: n ≥ 20.

Front

What does the term 'y-intercept' refer to 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 the slope-intercept form.

Front

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

Back

The slope indicates the steepness of the line and the direction it moves; a positive slope rises, while a negative slope falls.