Algebra Class: Lines and Linear Relations

What is the correct formula to find the slope between two points (x₁, y₁) and (x₂, y₂)?

Which of the following represents the point-slope form of a linear equation?

When solving the equation 3x - 9 = 0, what is the value of x?

If the slope of a line is -2 and it passes through the point (4, 5), what is the equation of the line in point-slope form?

Which method can be used to solve the equation 5x + 12 = 2?

Lines and Linear Relations

Rate of Change: Describes how a quantity changes over time or related variables.
Slope: Represents the steepness and direction of a line; calculated as the vertical change (rise) divided by the horizontal change (run).
Creating Linear Equations: Finding the mathematical expression that describes a linear relationship.
Solving Linear Equations: Finding the value(s) of the unknown variable(s) that makes the equation true.
Graphing Linear Relations: Visual representation of a linear relationship using a coordinate plane. Points on a line satisfy the equation.

Finding the Equation of a Line

From Slope and a Point:
- Use the point-slope form: y - y₁ = m(x - x₁), where 'm' is the slope and (x₁, y₁) is a point on the line.
From Two Points:
- Find the slope (m) using the formula m = (y₂ - y₁) / (x₂ - x₁), where (x₁, y₁) and (x₂, y₂) are the two given points.
- Then, substitute the slope and one of the points into the point-slope form to solve for the equation of the line.

Solving Linear Equations

Methods: Various algebraic techniques to isolate the unknown variable, including addition, subtraction, multiplication, and division properties of equality.

Test your understanding of lines and linear relations in this Algebra class quiz. You'll cover key concepts such as rate of change, slope, creating and solving linear equations, and graphing. This quiz will help solidify your knowledge of how to find equations of lines from slope and points.