Slope Lesson

the slope of the line

the y-intercept of the line.

where the line crosses the y-axis.

the rate of change of the line.

the  $$\frac{rise}{run}$$   of the line.

2

-2

1/2

1/2x

slope

linear

y-intercept

point-slope

y

m

x

b

y - y₁ = m(x-x₁)

Ax + By = C

y = mx + b

-2

2

-4

4

-2

2

-1

1

3/4

4/3

-3/4

-4/3

3/4

4/3

-3/4

-4/3

Subtract x on both sides to get: $$-2y=-4-x$$  

Add 2y on both sides to get: $$x=-4+2y$$  

Subtract x on both sides to get: $$2y=-x-4$$  

Add x on both sides to get: $$-2y=x-4$$  

Divide by 2 on both sides to get:
$$x-y=-2$$

$$7y=3x-1$$

$$y=\frac{1}{5}x+8$$

$$9x-y=12$$

$$x=7-y$$

zero slope

undefined

negative

positive

positive

negative

zero

undefined

$$\frac{2}{3}$$

$$\frac{3}{2}$$

3

$$\frac{1}{3}$$

$$\frac{5}{3}$$  

$$\frac{3}{5}$$  

5

$$\frac{5}{4}$$  

$$\frac{-3}{4}$$  

$$\frac{-2}{5}$$  

$$\frac{1}{1}$$  

Where a line crosses the Y AXIS

Where a line crosses the X AXIS

The slope of a line

(0, -2)

(3, 0)

(0, 3)

None of these.

y = 1/2

y = 1

y = -1/2

y = -1

-2

2

-4

4

5

3

2

5

y

m

x

b

y = -1/3x - 2

y = 1/3x - 2

y = 3x - 2

y = -3x - 2

y= x + 3

y= -x + 2

y= 2x + 2

y= x + 2