Understanding Linear Equations and Graphing

The video tutorial explains how to find ordered pair solutions for the linear equation y = -5x + 4 by completing a table and graphing the line. It demonstrates solving for y when x is given and vice versa, using substitution and basic arithmetic operations. The tutorial concludes with plotting the points on a coordinate plane to visualize the linear equation.

What is the y-value when x is -1 in the equation y = -5x + 4?

• 9

• -9

• -5

• 5

If y = -11, what is the corresponding x-value in the equation y = -5x + 4?

• 2

• -3

• 3

• -2

What ordered pair is obtained when x is 2 in the equation y = -5x + 4?

• (2, -6)

• (2, 6)

• (-2, -6)

• (-2, 6)

When y is 4, what is the x-value in the equation y = -5x + 4?

• 0

• 2

• 1

• -1

Which point is plotted by moving left 1 unit and up 9 units from the origin?

• (1, 9)

• (-1, 9)

• (-1, -9)

• (1, -9)

How do you plot the point (3, -11) on the coordinate plane?

• Move right 3, down 11

• Move right 3, up 11

• Move left 3, up 11

• Move left 3, down 11

What is the ordered pair for the point that is 2 units right and 6 units down from the origin?

• (-2, -6)

• (-2, 6)

• (2, -6)

• (2, 6)

Which point is plotted by moving up 4 units from the origin?

• (0, 4)

• (-4, 0)

• (0, -4)

• (4, 0)

What is the equation of the line that passes through the points (-1, 9), (3, -11), (2, -6), and (0, 4)?

• y = 4x - 5

• y = -4x + 5

• y = 5x - 4

• y = -5x + 4

What is the slope of the line represented by the equation y = -5x + 4?

• 4

• -4

• 5

• -5