2nd 9 Week Test

Front

What is the substitution method in solving systems of equations?

Back

The substitution method involves solving one equation for one variable and substituting that expression into the other equation to find the values of both variables.

Front

How do you convert a slope-intercept form equation to standard form?

Back

To convert from slope-intercept form (y = mx + b) to standard form (Ax + By = C), rearrange the equation to get all terms involving variables on one side and the constant on the other.

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 of a line given two points?

Back

The slope (m) can be calculated using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points.

Front

What does it mean if two lines are parallel?

Back

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

Front

What does it mean if two lines are 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 solve a system of equations by graphing?

Back

To solve by graphing, plot both equations on the same coordinate plane and identify the point(s) where they intersect, which represents the solution.

Front

What is a solution to a system of equations?

Back

A solution to a system of equations is a set of values for the variables that makes all equations in the system true.

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 check the solution of a system of equations?

Back

To check the solution, substitute the values back into the original equations to verify that both equations are satisfied.