Week 15: Point-Slope Form of a Line - No Random

All about Point-Slope Form of a Line

100

Identify the (x₁, y₁) and (x₂, y₂) in the set of ordered pairs:

(2,4) and (5, 10)

x₁= 2

x₂= 5

y₁=4

y₂=10

200

What two pieces of information do you need to write a linear equation in point-slope form?

.

point of coordinate & slope

300

What does m represent?

.

Slope

400

What does (x₁-y₁) represent?   

.

Point on the line

500

What is the point-slope form of a line?

.

y-y₁ = m(x-x₁)

Identify Slope & Point

100

y-2 = 3(x-1)

m=3  (1,2)

200

y-9 = -6(x-5)

m= -6  (5,9)

300

y-7 = 9(x-1)

m=9  (1,7)

400

y+12 = -10(x-20)

m= -10  (20,-12)

500

y-4 = -1.5(x-2)

m=-1.5  (2,4)

Writing Equations in Point-Slope Form

100

m= 3  (-7,8)

y-8 = 3(x+7)

200

m= -8  (-4,-7)

y-7= -8(x+4)

300

m= -2   (2,-8)

y+8 = -2(x+3)

400

m= -7   (1,2)

y-2 = -7(x-1)

500

m= 9  (1,7)

y-7 =  9(x-1)

Calculate the slope of the line that goes through the points:

100

What is the slope formula?

y2-y1/x2-x1

200

(1,3) and (2, 10)

m=7

300

(3,6) and (5,12)

m=3

400

(-1,3) and (2, -6)

m = -3

500

(-5,3) and (-2, 15)

m = 4