Write the equation of a line between two points that are fractions

The video tutorial guides students through writing an equation in slope-intercept form using two given points. It begins by explaining how to identify if any of the points are the y-intercept, then moves on to calculating the slope using the slope formula. The tutorial demonstrates how to handle fractions with different denominators and simplifies the process of finding the slope. Once the slope is determined, the video shows how to use one of the points to find the y-intercept and finalize the equation. The final equation is presented in the form y = mx + b.

What is the first step in writing an equation in slope-intercept form when given two points?

• Identify if any point is the x-intercept

• Determine if any point is the y-intercept

• Calculate the midpoint of the points

• Find the average of the x-coordinates

How do you calculate the slope between two points?

• Subtract the x-coordinates from the y-coordinates

• Divide the change in y-coordinates by the change in x-coordinates

• Multiply the x-coordinates and y-coordinates

• Add the x-coordinates and y-coordinates

What should you do if the fractions in the slope calculation have different denominators?

• Add the fractions directly

• Ignore the denominators

• Subtract the smaller denominator from the larger one

• Multiply each fraction by a common factor to have the same denominator

Once the slope is known, what is the next step in finding the equation in slope-intercept form?

• Determine the midpoint of the line

• Calculate the average of the points

• Use one of the points to solve for the y-intercept

• Find the x-intercept

What is the final equation derived in the video?

• Y = 2/15 X + 9/20

• Y = -2/15 X + 9/20

• Y = -2/15 X - 9/20

• Y = 2/15 X - 9/20