Linear Equations and Inequalities

Front

What is the Slope Intercept Form of a linear equation?

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the symbol '≥' indicate in an inequality?

Back

It means 'greater than or equal to'.

Front

How can you tell if the graph of an inequality will have a solid line?

Back

The symbol has 'or equal to' (≥ or ≤).

Front

What is the solution to the equation y = 2x - 7 when x = 2?

Back

(2, -3) because y = 2(2) - 7 = -3.

Front

What does the inequality y ≤ -¾x - 1 represent graphically?

Back

It represents all points below or on the line y = -¾x - 1.

Front

What is the meaning of the term 'slope' in a linear equation?

Back

The slope (m) represents the rate of change of y with respect to x.

Front

What does the term 'y-intercept' refer to in a linear equation?

Back

The y-intercept (b) is the point where the line crosses the y-axis.

Front

How do you graph the inequality y > 2?

Back

Graph the line y = 2 as a dashed line and shade above it.

Front

What is the difference between a solid line and a dashed line in graphing inequalities?

Back

A solid line indicates 'or equal to', while a dashed line indicates 'greater than' or 'less than'.

Front

What is the general form of a linear equation?

Back

Ax + By = C, where A, B, and C are constants.