Understanding Intercepts and Equations

The video tutorial explains how to determine which of the given equations corresponds to the graph of a red line by finding and comparing the X and Y intercepts. The process involves setting Y to zero to find X-intercepts and setting X to zero to find Y-intercepts for each equation. The intercepts are then compared to those of the red line to identify the correct equation. The tutorial concludes with the identification of the correct equation as 4X + 5Y = 20.

What is the first step in determining which equation corresponds to the graph of the red line?

• Calculate the slope of the line

• Determine the x and y intercepts

• Find the midpoint of the line

• Check the color of the line

How do you find the x-intercept of an equation?

• Set y = 0 and solve for x

• Set x = 0 and solve for y

• Set x = y

• Set both x and y to 0

What is the x-intercept of the equation 4X = 20?

• 0

• 5

• -5

• 10

For the equation 4X = -20, what is the x-intercept?

• 5

• -5

• 0

• 20

How do you find the y-intercept of an equation?

• Set x = 0 and solve for y

• Set y = 0 and solve for x

• Set x = y

• Set both x and y to 0

What is the y-intercept of the equation -5Y = 20?

• -4

• 4

• 0

• 5

For the equation 5Y = 20, what is the y-intercept?

• 4

• 0

• 5

• -4

Which equation matches the intercepts of the red line with x-intercept 5 and y-intercept 4?

• 4X - 5Y = -20

• 4X + 5Y = -20

• 4X - 5Y = 20

• 4X + 5Y = 20

What are the intercepts of the third equation if x = -5 and y = -4?

• x = 5, y = 4

• x = -5, y = 4

• x = -5, y = -4

• x = 5, y = -4

Why can't the first equation be the correct one for the red line?

• It has the wrong slope

• It has the wrong intercepts

• It is not in standard form

• It is not a linear equation