Finding Slope and Line Equations

The video tutorial explains how to write the equation of a line using the formula y=mx+b, where m is the slope and b is the y-intercept. It covers graphing points, determining the slope, and calculating the y-intercept. The tutorial includes example problems and additional practice to reinforce the concepts.

What is the general formula for the equation of a line?

• y = ax^2 + bx + c

• y = a/x + b

• y = mx + b

• y = mx^2 + b

In the equation y = mx + b, what does 'm' represent?

• The constant term

• The slope

• The y-intercept

• The x-intercept

How can you determine the slope of a line from two points?

• By adding the x-coordinates

• By dividing the difference in y-coordinates by the difference in x-coordinates

• By subtracting the y-coordinates

• By multiplying the x and y coordinates

What is the first step in finding the y-intercept when given a point and the slope?

• Substitute the x and y values into the equation

• Set y to zero

• Divide the y-coordinate by the slope

• Multiply the x-coordinate by the slope

If a line passes through the points (-3, 2) and (3, -3), what is the slope?

• 5/6

• -5/6

• -1

• 1

Given a slope of -3/5 and a point (-4, 7), what is the y-intercept?

• -7

• 7

• -23/5

• 23/5

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

• y = x + 2

• y = x - 2

• y = -x - 2

• y = -x + 2

For a line with a slope of -2/3 passing through (-3, 6), what is the equation?

• y = -2/3x + 4

• y = 2/3x + 4

• y = -2/3x - 4

• y = 2/3x - 4