Exploring Standard Form of Linear Equations

The video tutorial explains the standard form of linear equations, which is expressed as ax + by = c, where a, b, and c are integers. It describes two methods for graphing from standard form, focusing on converting it to slope-intercept form (y = mx + b) to find the slope and y-intercept. The tutorial provides step-by-step instructions on rearranging equations and graphing them on a coordinate plane, including examples to illustrate the process.

What is the standard form of a linear equation?

• x^2 + y^2 = r^2

• y = ax^2 + bx + c

• ax + by = c

• y = mx + b

What are integers?

• Fractions

• Negative numbers

• Decimals

• Whole numbers

What is the first step in converting a standard form equation to slope-intercept form?

• Multiply both sides by x

• Divide both sides by y

• Subtract the x term from both sides

• Add the x term to both sides

In the equation y = mx + b, what does 'm' represent?

• The slope

• The constant term

• The y-intercept

• The x-intercept

What operation is used to isolate y when there is a coefficient in front of it?

• Division

• Addition

• Multiplication

• Subtraction

What is the slope in the equation y = -2x + 5?

• -2

• 5

• 2

• -5

How do you write the y-intercept as an ordered pair?

• (x, y)

• (0, y)

• (y, 0)

• (x, 0)

If the slope is positive, in which direction do you move on the graph?

• Up and to the right

• Down and to the left

• Down and to the right

• Up and to the left

What tool can you use to draw a straight line on the graph?

• A compass

• A protractor

• A calculator

• A ruler

What is the y-intercept in the equation y = -2x + 5?

• (0, -2)

• (5, 0)

• (0, 5)

• (-2, 0)