Graphing a linear inequality by the x and y intercepts

The video tutorial explains how to graph inequalities by finding the X and Y intercepts. It covers the process of solving for these intercepts and graphing the inequality. The tutorial also demonstrates how to determine the shading of the graph using test points, ensuring the correct representation of the inequality.

What is the x-intercept of the inequality 4x - 5y ≥ 25?

• When y = 0, solve 5x = 25

• When x = 0, solve 5y = 25

• When y = 0, solve 4x = 25

• When x = 0, solve 4y = 25

How do you find the y-intercept of the inequality 4x - 5y ≥ 25?

• Set y = 1 and solve for x

• Set x = 1 and solve for y

• Set y = 0 and solve for x

• Set x = 0 and solve for y

What is the result of dividing 25 by 4 when finding the x-intercept?

• 6.25

• 5.25

• 7.25

• 4.25

Why is it important to flip the inequality sign when dividing by a negative number?

• To make the equation positive

• To maintain the inequality's direction

• To change the inequality's direction

• To simplify the equation

What test point is commonly used to determine the shading of the graph?

• (2, 2)

• (0, 0)

• (1, 1)

• (-1, -1)