Key Concepts of Linear Equations

What is the x-intercept of a line that crosses the x-axis one unit to the left?

• (0,1)

• (0,-1)

• (1,0)

• (-1,0)

If a line goes up 2 units and right 1 unit, what is the slope of the line?

• 1/2

• 2

• -2

• -1/2

What form is best for graphing because it provides the slope and y-intercept directly?

• Point-slope form

• Intercept form

• Standard form

• Slope-intercept form

How do you derive the point-slope form of a linear equation?

• None of the above

• Multiply both sides by the denominator of the slope

• Isolate y in the equation

• Substitute known coordinates into the slope formula

What do you plug in to find the x-intercept when working with an equation?

• x = 1

• y = 0

• x = 0

• y = 1

Which variable is considered the independent variable when plotting points?

• y

• x

• Both x and y

• Neither

What is the slope of a line parallel to another line with a slope of 5?

• -1/5

• 1/5

• -5

• 5

What is the slope of a line perpendicular to a line with a slope of 3?

• -3

• 3

• -1/3

• 1/3

If a lemonade stand has an initial cost of $15 and makes a profit of 75 cents per cup, what is the y-intercept in the profit equation?

• 15

• -15

• 0.75

• -0.75

What does the slope in a linear model typically represent?

• Final value

• Change per unit

• Total cost

• Initial value