Understanding Intercepts and Graphing a Line

The video tutorial explains how to find the x-intercept and y-intercept of the equation 2x - 3y + 6 = 0. It demonstrates setting y to zero to find the x-intercept and setting x to zero to find the y-intercept. The tutorial then shows how to plot these intercepts on a coordinate plane and draw the line passing through them.

What is the first step in finding the x-intercept of a line?

• Multiply the coefficients of x and y

• Add the coefficients of x and y

• Set y to zero and solve for x

• Set x to zero and solve for y

After setting y to zero, what does the equation simplify to when finding the x-intercept?

• 2x - 3y = 0

• x + y = 6

• 3y + 6 = 0

• 2x + 6 = 0

What is the x-intercept of the equation 2x - 3y + 6 = 0?

• (0, 3)

• (-3, 0)

• (3, 0)

• (0, -3)

What is the ordered pair for the x-intercept of the line?

• (0, 2)

• (2, 0)

• (0, -3)

• (-3, 0)

What is the first step in finding the y-intercept of a line?

• Set x to zero and solve for y

• Multiply the coefficients of x and y

• Set y to zero and solve for x

• Add the coefficients of x and y

After setting x to zero, what does the equation simplify to when finding the y-intercept?

• -3y + 6 = 0

• 2x + 6 = 0

• 3y - 6 = 0

• x + y = 6

What is the y-intercept of the equation 2x - 3y + 6 = 0?

• (-2, 0)

• (0, -2)

• (2, 0)

• (0, 2)

What is the ordered pair for the y-intercept of the line?

• (0, -2)

• (0, 2)

• (-2, 0)

• (2, 0)

Which point is plotted first when graphing the line?

• The midpoint

• The origin

• The x-intercept

• The y-intercept

What is the final step after finding both intercepts?

• Determine the equation of the line

• Find the midpoint

• Calculate the slope

• Sketch the line through the intercepts