CRM Final Fall 2024

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 between 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 a system of inequalities to be consistent?

Back

A system of inequalities is consistent if there is at least one solution that satisfies all inequalities.

Front

What is the graphical representation of a linear equation?

Back

The graphical representation of a linear equation is a straight line on the coordinate plane.

Front

How do you solve a system of equations using the elimination method?

Back

To solve by elimination, you manipulate the equations to eliminate one variable, allowing you to solve for the other.

Front

What is the definition of a linear inequality?

Back

A linear inequality is an inequality that involves a linear function, typically expressed in the form ax + by < c, ax + by > c, etc.

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.

Front

How do you graph a linear equation given in standard form (Ax + By = C)?

Back

To graph, find the x-intercept (set y=0) and y-intercept (set x=0), then plot these points and draw a line through them.

Front

What is the solution to the equation 1 + k + 1 = 2k?

Back

The solution is k = 2.

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and will never intersect.