Slope-Intercept Form Concepts

Mrs. Story explains how to write slope-intercept form equations from two ordered pairs. The lesson covers finding the slope using the slope formula and then using the slope to determine the y-intercept. Two examples are provided: one with a simple slope and another with an improper fraction slope. The video concludes with a summary of the key concepts and methods discussed.

What is the first step in writing a slope-intercept form equation from two ordered pairs?

• Plot the points on a graph

• Calculate the midpoint

• Find the slope

• Find the y-intercept

Why do we need both the slope and the y-intercept to write a slope-intercept form equation?

• To determine the equation's domain

• To calculate the equation's roots

• To find the equation's range

• To fully define the linear equation

What formula is used to calculate the slope from two ordered pairs?

• x2 - x1 over y2 - y1

• y2 - y1 over x2 - x1

• y1 - y2 over x1 - x2

• x1 - x2 over y1 - y2

If the slope is calculated as -10 divided by -2, what is the resulting slope?

• 10

• -10

• 5

• -5

After finding the slope, what is the next step in forming the equation?

• Find the x-intercept

• Find the y-intercept

• Graph the equation

• Solve for x

When substituting values to find the y-intercept, what can you use?

• Neither ordered pair

• Either ordered pair

• Only the second ordered pair

• Only the first ordered pair

What is the y-intercept if the equation is simplified to 5 = 5 * 4 + b?

• -20

• 15

• -15

• 20

In the second example, what is the slope if calculated as 3 over -2?

• -2/3

• 2/3

• -3/2

• 3/2

How is the whole number 2 converted into a fraction with a common denominator?

• 4/4

• 4/2

• 2/1

• 2/2

What is the final y-intercept in the second example?

• 2

• 1/2

• -2

• -1/2