Exploring Slope Intercept and Point Slope Forms

This video tutorial reviews slope concepts, including slope-intercept and point-slope forms. It demonstrates how to find the slope from two points, a graph, and a table. The video also covers using the slope-intercept form (y=mx+b) and point-slope form to derive equations. Examples are provided to illustrate each method, ensuring a comprehensive understanding of slope calculations.

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

• m = (x2 - x1) / (y2 - y1)

• m = (y2 - y1) / (x2 - x1)

• m = (y1 - y2) / (x1 - x2)

• m = (x1 - x2) / (y1 - y2)

If y2 = 2, y1 = -1, x2 = 0, and x1 = 1, what is the slope?

• 1

• -3

• -1

• 3

Given points (-2, 1) and (4, 3), what is the slope?

• 1/2

• -1/2

• 2

• -2

What is the slope of a line that rises 4 units and runs 2 units to the left?

• 2

• -1/2

• -2

• 1/2

In the slope-intercept form y = mx + b, what does 'b' represent?

• The rise over run

• The x-intercept

• The slope

• The y-intercept

Given the slope m = 1/2 and y-intercept b = 0, what is the equation of the line?

• y = 2x + 0

• y = 1/2x - 1

• y = x + 1/2

• y = 1/2x + 0

What is the point-slope form of the equation given point (4, 0) and slope -7?

• y + 4 = -7(x + 0)

• y + 0 = -7(x + 4)

• y - 0 = -7(x - 4)

• y - 4 = -7(x - 0)

Convert the point-slope form y - 0 = -7(x - 4) to slope-intercept form.

• y = -7x + 28

• y = -7x - 28

• y = 7x + 28

• y = 7x - 28

Given the table of values (3, 12) and (4, 16), what is the slope?

• 4

• 2

• 1

• 3

What is the equation of the line given the points (15, 11) and (16, 12)?

• y = x - 4

• y = x + 4

• y = x - 3

• y = x + 3