Exploring Point/Slope from Graphs and Tables

What is the first step in writing linear equations from tables and graphs?

• Finding the Y-intercept

• Finding the slope

• Identifying the X-intercept

• Calculating the midpoint

How do you calculate the slope using two points?

• Divide the X values by the Y values

• Add the X values and Y values

• Multiply the X values and Y values

• Subtract the Y values and divide by the difference in X values

What is the slope if the Y values are 3 and -5, and the X values are 2 and -1?

• 3/8

• 1/2

• 2/1

• 8/3

What is the point-slope form of the equation if the slope is 8/3 and the point is (2, 3)?

• y - 3 = 8/3 * (x + 2)

• y + 3 = 8/3 * (x - 2)

• y + 3 = 8/3 * (x + 2)

• y - 3 = 8/3 * (x - 2)

What is the slope-intercept form of the equation y - 3 = 8/3 * (x - 2)?

• y = 8/3x - 7/3

• y = 3/8x - 7/3

• y = 3/8x + 7/3

• y = 8/3x + 7/3

What is the Y-intercept of the equation y = 8/3x - 7/3?

• -7/3

• 7/3

• -8/3

• 8/3

How do you find the rate of change from a table of values?

• Divide the change in Y by the change in X

• Subtract the change in Y from the change in X

• Multiply the change in X by the change in Y

• Divide the change in X by the change in Y

What is the rate of change if the change in Y is 4 and the change in X is 10?

• 1/2

• 5/2

• 2/5

• 4/10

If the rate of change is 2/5 and the point is (4, 1), what is the point-slope form of the equation?

• y - 1 = 2/5 * (x + 4)

• y + 1 = 2/5 * (x - 4)

• y - 1 = 2/5 * (x - 4)

• y + 1 = 2/5 * (x + 4)

What is the equivalent form of y - 1 = 2/5 * (x - 4)?

• y + 1 = 2/5 * (x + 4)

• y + 1 = 2/5 * (x - 4)

• y + 1 = 2/5 * (x - 4)

• y - 1 = 2/5 * (x + 4)