Writing Equations from Slope and Point

The video tutorial explains how to write equations of lines using the slope-intercept form, given a slope and a point. It covers the basic formula y = mx + b, where m is the slope and b is the y-intercept. The tutorial includes several examples, demonstrating how to solve for b and write the final equation. It also addresses special cases like undefined slopes, which result in vertical lines with equations of the form x = constant.

What is the formula for slope-intercept form?

• x = by + m

• y = bx + m

• x = my + b

• y = mx + b

What does 'm' represent in the slope-intercept form?

• y-coordinate

• slope

• x-coordinate

• y-intercept

In the slope-intercept form, what does 'b' represent?

• The slope of the line

• The x-coordinate of a point on the line

• The y-intercept of the line

• The y-coordinate of a point on the line

How do you find the y-intercept when given a slope and a point?

• Add the slope to the y-coordinate

• Substitute the values into y = mx + b and solve for b

• Substitute the values into y = mx + b and solve for y

• Multiply the slope by the x-coordinate

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

• x = -3

• x = 2

• y = 2

• y = -3

What does an undefined slope indicate about a line?

• The line has a slope of 0

• The line has a slope of 1

• The line is horizontal

• The line is vertical

What form is used for a vertical line?

• mx - by = 0

• y = constant

• x = constant

• y = mx + b

If a line passes through (8, -6) with a slope of 3/4, what is the y-intercept?

• 4

• -12

• -4

• 7

For the equation y = -5/2x - 19, what is the slope?

• 2/5

• -5/2

• 5/2

• -2/5

What is the y-intercept of the line with the equation y = 3/2x + 4?

• 2

• -4

• 4

• 3/2