Writing Equations in Slope-Intercept Form from Two Points

The video tutorial explains how to find the slope of a line when given two points, using the formula y2 - y1 over x2 - x1. It then demonstrates how to use the slope in the general equation y = mx + b to find the y-intercept (b). The tutorial provides multiple examples, including how to find the slope from a graph by identifying the rise over run. The video emphasizes the importance of practice and understanding the relationship between slope, points, and equations.

What is the formula for finding the slope between two points?

• x1 - x2 over y1 - y2

• y2 - y1 over x2 - x1

• x2 - x1 over y2 - y1

• y1 - y2 over x1 - x2

If you have points (1, 3) and (2, 4), what is the slope?

• 1

• -2

• -1

• 2

After finding the slope, what is the next step to find the equation of the line?

• Find the x-intercept

• Find the y-intercept

• Find another point

• Find the midpoint

Given the slope -3 and point (2, 4), what is the y-intercept?

• 6

• 10

• -6

• -10

What is the equation of the line with slope -3 and y-intercept 10?

• y = 3x - 10

• y = -3x - 10

• y = 3x + 10

• y = -3x + 10

How can you verify the equation of a line?

• By finding the x-intercept

• By plugging in another point

• By checking the midpoint

• By finding another slope

What is the slope of the line passing through points (-2, -4) and (-6, -5)?

• 1

• 4

• -4

• -1

Given the slope 4 and point (-4, -2), what is the y-intercept?

• 16

• -14

• -16

• 14

How do you find the slope from a graph?

• By checking the y-intercept

• By finding the x-intercept

• By drawing a right triangle and calculating rise over run

• By finding the midpoint

What is the equation of the line with slope -2 and y-intercept 3?

• y = 2x + 3

• y = -2x - 3

• y = -2x + 3

• y = 2x - 3