Writing Equations of Lines in Slope-Intercept Form from Two Points

The video tutorial focuses on writing equations of lines in slope-intercept form, starting with a review of using a point and a slope. It then progresses to finding the slope from two points and using it to write the equation of a line. The tutorial includes several example problems to reinforce the concepts and concludes with a summary of the lesson.

What are the three components needed to write the equation of a line in slope-intercept form when given a point and a slope?

• x, m, and b

• m, b, and y

• x, y, and m

• x, y, and b

If you have a point (2, -3) and a slope of -4, what is the y-intercept (b) of the line?

• -5

• 8

• -8

• 5

Given two points (2, 4) and (3, 1), what is the slope of the line?

• 3

• -3

• -4

• 4

Using the slope -4 and point (3, 1), what is the y-intercept (b) of the line?

• 13

• 12

• 14

• 15

What is the equation of the line with slope -4 and y-intercept 13?

• y = -4x + 13

• y = 4x - 13

• y = 4x + 13

• y = -4x - 13

Given points (-4, -2) and (4, -6), what is the slope of the line?

• 4

• -2

• -4

• 2

Using the slope 4 and point (-4, -2), what is the y-intercept (b) of the line?

• -14

• 16

• -16

• 14

What is the equation of the line with slope 4 and y-intercept 14?

• y = 4x - 14

• y = -4x + 14

• y = -4x - 14

• y = 4x + 14

Given points (5, -7) and (-1, 12), what is the slope of the line?

• -3

• 4

• -4

• 3

What is the equation of the line with slope -2/3 and y-intercept -14/3?

• y = -2/3x + 14/3

• y = 2/3x - 14/3

• y = -2/3x - 14/3

• y = 2/3x + 14/3