Writing Equations in Slope-Intercept Form from Two Points

The video tutorial explains how to write equations in slope-intercept form, y = mx + b, using given points and slopes. It covers identifying the slope and y-intercept, using the slope formula, and solving for the y-intercept when not provided. The tutorial includes several examples, such as writing equations from a point and slope, two points, a table of points, and special cases like horizontal and vertical lines.

What is the formula for slope-intercept form?

• y = x + mb

• y = b + mx

• y = m + bx

• y = mx + b

If the slope is not given, which formula is used to find it?

• y2 - y1 over x2 - x1

• x1 - x2 over y1 - y2

• x2 - x1 over y2 - y1

• y1 - y2 over x1 - x2

Given a point (2, 1) and a slope of 3, what is the y-intercept?

• -3

• 5

• -5

• 3

What is the equation of the line passing through (2, 1) with a slope of 3?

• y = 3x - 5

• y = -3x - 5

• y = -3x + 5

• y = 3x + 5

Given a point (4, 7) and a slope of -1, what is the y-intercept?

• 3

• 7

• -3

• -7

What is the equation of the line passing through (4, 7) with a slope of -1?

• y = -x + 3

• y = -x - 3

• y = x + 3

• y = x - 3

How do you find the slope between two points (3, 1) and (2, 4)?

• 3

• 1

• -1

• -3

What is the equation of the line passing through (3, 1) and (2, 4)?

• y = -3x + 10

• y = 3x + 10

• y = -3x - 10

• y = 3x - 10

What is the equation of a horizontal line passing through (9, 10)?

• x = 9

• x = 10

• y = 10

• y = 9

What is the equation of a vertical line passing through (19, 2) and (19, 4)?

• x = 2

• y = 2

• y = 19

• x = 19