Understanding Linear Equations from Intercepts

This video tutorial explains how to write the equation of a line given its x and y-intercepts. It begins with a visual representation of the graph, followed by converting intercepts into ordered pairs. The tutorial then demonstrates how to calculate the slope using the formula and write the equation in slope-intercept form. A similar problem is solved to reinforce the concepts.

What is the x-intercept of a line that touches the x-axis at 4?

• 0

• 3

• 4

• 5

If a line has a y-intercept of 3, what is the ordered pair for this intercept?

• (3, 0)

• (0, 3)

• (3, 3)

• (0, 0)

How do you calculate the slope of a line given two points?

• Multiply the x-values and y-values

• Use the formula (Y2 - Y1) / (X2 - X1)

• Subtract the x-values from the y-values

• Add the x-values and y-values

What is the slope of a line with points (0, 3) and (4, 0)?

• 3/4

• -4/3

• -3/4

• 4/3

What is the equation of a line with a slope of -3/4 and y-intercept of 3?

• Y = -3/4X + 3

• Y = -3/4X - 3

• Y = 3/4X + 3

• Y = 3/4X - 3

What is the x-intercept of a line that touches the x-axis at 5?

• 0

• 5

• -5

• 4

If a line has a y-intercept of -4, what is the ordered pair for this intercept?

• (0, -4)

• (-4, 0)

• (4, 0)

• (0, 4)

What is the slope of a line with points (5, 0) and (0, -4)?

• -5/4

• 5/4

• -4/5

• 4/5

What is the equation of a line with a slope of 4/5 and y-intercept of -4?

• Y = 4/5X - 4

• Y = -4/5X + 4

• Y = -4/5X - 4

• Y = 4/5X + 4

What is the final step in writing the equation of a line in slope-intercept form?

• Calculate the x-intercept

• Determine the rise over run

• Find the midpoint

• Use the formula Y = MX + B