y - 3 = 4(x - 2)
y = 4x - 5
y - 3 = 1/2(x - 2)
y = 1/2x + 2
(2, 3) and (4, 7)
y - 3 = 2(x - 2)
write the equation
y=m(x-x)+y
The largest ocean in the world.
What is the Pacific Ocean
y - 5 = -2(x + 1)
y - 5 = -3/4(x + 4)
y = -3/4x - 1
(-1, 5) and (3, 1)
y - 5 = -(x + 1)
n the point-slope form equation y - y₁ = m(x - x₁), what do the variables m, x₁, and y₁ represent?
m represents the slope of the line
(x₁, y₁) represents a point that lies on the line.
The smallest country in the world
What is the Vatican City
y + 7 = 6(x + 5)
y = 6x + 23
y - 2 = 3/7(x + 5)
y = 3/7x + 37/7
(4, 7) and (1, 2)
y - 7 = 5/3(x - 4)
If you are given a point-slope form equation, how can you determine the slope of the line
To determine the slope of the line, you can simply identify the coefficient of (x - x₁). This coefficient is equal to the slope, m.
The most common M&M color
What is blue
3y + 3 = 2x - 8
y = (2/3)x - 11/3
y + 4 = 5/6(x + 7)
y = 5/6x + 17/6
(-2, -5) and (3, 4)
y - 4 = 9/5(x - 3)
When would this form be most useful? (i.e. what are you given)
when you are given either slope and one point OR two points
The first basketball player to ever appear on a cereal box.
Who is Michael Jordan.
y + 7 = 6(x + 5)
y = 6x + 23
y + 5 = -8/7(x + 3)
y = -8/7x - 31/7
(100, 200) and (300, 500)
y - 200 = 3/2(x - 100)
If you have two points on a line, can you explain how to use the point-slope form to find the equation of the line?
Use the formula m = (y₂ - y₁) / (x₂ - x₁)
The slope of any horizontal line
What is 0.