Alg. 1 Review Unit 1-4

Front

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

Back

The slope-intercept form is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you find the slope from two points (x1, y1) and (x2, y2)?

Back

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

Front

What does it mean for two lines to be perpendicular?

Back

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

Front

What is the elimination method in solving systems of equations?

Back

The elimination method involves adding or subtracting equations to eliminate one variable, making it easier to solve for the other variable.

Front

What is a solution to a system of inequalities?

Back

A solution to a system of inequalities is any ordered pair (x, y) that satisfies all inequalities in the system.

Front

How do you graph a linear equation in slope-intercept form?

Back

To graph a linear equation in slope-intercept form, start at the y-intercept (b) on the y-axis, then use the slope (m) to find another point.

Front

What is the difference between a solution to an equation and a solution to an inequality?

Back

A solution to an equation is a specific point that makes the equation true, while a solution to an inequality is a range of values that satisfy the inequality.

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, representing the value of y when x = 0.

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