P F Test 3 -- Linear Equations

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.

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

To solve a linear equation, isolate the variable on one side of the equation using inverse operations.

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

The y-intercept is the point where the line crosses the y-axis, represented by the value of $$b$$ in the slope-intercept form.

The slope $$m$$ can be calculated using the formula $$m = \frac{y_2 - y_1}{x_2 - x_1}$$ .

An inequality is a mathematical statement that compares two expressions using symbols like <, >, ≤, or ≥.

To solve an inequality, perform the same operations as you would for an equation, but remember to reverse the inequality sign when multiplying or dividing by a negative number.

Graphing a linear equation means plotting all the points that satisfy the equation on a coordinate plane.

The standard form of a linear equation is $$Ax + By = C$$ , where $$A$$ , $$B$$ , and $$C$$ are integers.