P F Test 3 -- Linear Equations

Front

What is a linear equation?

Back

A linear equation is an equation of the first degree, meaning it has no exponents greater than one. It can be written in the form ax + b = 0, where a and b are constants.

Front

How do you solve a linear equation for x?

Back

To solve a linear equation for x, isolate x on one side of the equation by performing inverse operations on both sides.

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.

Front

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

Back

The slope-intercept form of a linear equation is 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) of a line given two points (x1, y1) and (x2, y2) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What is the difference between parallel and perpendicular lines?

Back

Parallel lines have the same slope, while perpendicular lines have slopes that are negative reciprocals of each other.

Front

How do you solve an inequality?

Back

To solve an inequality, isolate the variable on one side, similar to solving an equation, but remember to reverse the inequality sign when multiplying or dividing by a negative number.

Front

What is the standard form of a linear equation?

Back

The standard form of a linear equation is Ax + By = C, where A, B, and C are integers, and A should be non-negative.

Front

How do you determine if a point lies on a line?

Back

To determine if a point (x, y) lies on a line represented by an equation, substitute the x-value into the equation and see if the resulting y-value matches the y-coordinate of the point.

Front

What is the process for graphing a linear equation?

Back

To graph a linear equation, find at least two points that satisfy the equation, plot them on a coordinate plane, and draw a line through the points.