Math I Review: Understanding Linear Functions

What is essential for a linear function to create a straight line on a graph?

• Zero slope

• Undefined slope

• Constant slope

• Variable slope

How can the slope of a line be visually determined?

• By calculating the area under the curve

• By the length of the line segment

• By drawing a right triangle and calculating rise over run

• By measuring the curve

What does the slope formula calculate?

• The rate of change between two points

• The sum of y-coordinates

• The product of x and y coordinates

• The difference in x-coordinates

What does a positive slope indicate about the direction of a line?

• It moves downwards from left to right

• It moves upwards from left to right

• It is vertical

• It is horizontal

How can you find the slope of a line from two points?

• By using the slope formula

• By adding their x-coordinates

• By subtracting their x-coordinates

• By dividing their y-coordinates

Which form of a linear equation provides the slope and y-intercept directly?

• Standard form

• Quadratic form

• Point-slope form

• Slope-intercept form

How do you graph a linear equation in slope-intercept form?

• Plot the x-intercept and use the slope

• Plot the y-intercept and use the slope

• Plot both intercepts without using the slope

• Use the slope as the x-intercept

How is the y-intercept represented in slope-intercept form?

• As the slope

• As the constant term

• As the variable y

• As the coefficient of x

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

• Multiply both sides by the coefficient of y

• Divide both sides by the coefficient of x

• Add the y-term to both sides

• Subtract the x-term from both sides

How can you graph a linear equation given in standard form without converting it?

• By finding the x and y intercepts

• By plotting any two points

• By calculating the midpoint

• By using the slope-intercept form