Finding Slope and Line Equations

This video tutorial covers the concepts of slope and y-intercept, demonstrating how to find them and write equations in slope-intercept form. It includes multiple examples with both positive and negative slopes, as well as cases where the y-intercept is given. The tutorial provides step-by-step instructions for calculating slope using the change in Y over the change in X and finding the y-intercept by identifying where the line crosses the y-axis. The video concludes with a summary of the methods and examples discussed.

What is the first step in finding the slope of a line?

• Calculate the change in X over the change in Y

• Find the y-intercept first

• Pick the rightmost point

• Pick the leftmost point

How do you determine the y-intercept of a line?

• The highest point on the line

• Where the line intersects the y-axis

• The lowest point on the line

• Where the line intersects the x-axis

In a positive slope example, if the change in Y is 3 and the change in X is 3, what is the slope?

• 0

• 9

• 1

• 3

What is the equation of a line with a slope of 1 and a y-intercept of 2?

• y = 2x + 1

• y = x - 2

• y = x + 2

• y = 2x - 1

When given coordinates (12, 8) and (14, 20), what is the slope of the line?

• 2

• 1

• 6

• 12

If the slope is 6 and a point on the line is (12, 8), what is the y-intercept?

• -64

• 62

• 64

• -62

What is the slope of a line if the change in Y is 4 and the change in X is 4?

• 16

• 0

• 1

• 4

If the y-intercept is given as 1, what is the equation of the line with a slope of 1?

• y = 1x + 1

• y = x - 1

• y = 1x - 1

• y = x + 1

In a complex example, if the slope is 4 and a point on the line is (-12, 17), what is the y-intercept?

• -48

• 48

• -65

• 65

What is the equation of a line with a slope of 1/2 and a y-intercept of -2?

• y = 2x - 1/2

• y = 2x + 1/2

• y = 1/2x - 2

• y = 1/2x + 2