TOPIC 2 TEST REVIEW ANALYZE AND SOLVE LINEAR EQUATIONS

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed. It can be written in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of y with respect to x. It indicates how steep the line is and the direction it goes (positive or negative).

Front

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

Back

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

Front

What is the y-intercept of a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis. It is represented by the value of b in the equation y = mx + b.

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.

Front

What is the significance of a proportional relationship in linear equations?

Back

A proportional relationship means that as one quantity increases, the other quantity increases at a constant rate, represented by a linear equation through the origin.

Front

What does it mean for two lines to be parallel?

Back

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

Front

What does it mean for two lines to be perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1, meaning they intersect at a right angle.

Front

How do you write an equation in slope-intercept form given a slope and a point?

Back

Use the point-slope form (y - y1 = m(x - x1)) and rearrange it to slope-intercept form (y = mx + b).

Front

What is the formula for the cost of parking if it includes a flat fee and a variable hourly rate?

Back

The cost can be expressed as y = mx + b, where m is the hourly rate, x is the number of hours, and b is the flat fee.