6.1.1 Linear Equations - Algebra

Slope-intercept form

Standard form

Point-slope form

Vertex form

Using the distance formula

Using the midpoint formula

Using the Pythagorean theorem

Using the rise over run method

Slope-intercept, Standard, Point-slope

Quadratic, Cubic, Quartic

Polynomial, Radical, Rational

Exponential, Logarithmic, Trigonometric

y = mx + b

(y2-y1)/(x2-x1)

x = 0

Vertical slope

Negative slope

Positive slope

Horizontal slope

Vertical slope

Point where x=0

Point where y=0

Point where slope=0

Point where slope is undefined

The point where y equals 0 and is equal to b

The point where x equals 0 and is equal to b

The point where y equals 1 and is equal to b

The point where x equals 1 and is equal to b

The point where x equals 1 and is equal to 0

The point where y equals 1 and is equal to 0

The point where y equals 0 and is equal to x

The x-intercept is the point where x equals 0

The y-intercept is the point where x equals 0

The x-intercept is the point where y equals 0

The y-intercept is the point where y equals 0

The x-intercept is the point where x equals 0

y=-0.5x+1

y=-2x+3

y=2x+3

y=0.5x+1

y=-3x+2

y=0.5x-1

y=-2x+1

y=-0.33x-4

Plot (0,4) and slope down to the right

Plot (4,0) and slope up to the left

Plot (0,4) and slope up to the right

Plot (4,0) and slope down to the left

y = mx + b

x = -b/m

y = -mx + b

x = b/m

Identify the slope

Identify the x-intercept

Identify the y-intercept

Draw a parabola

Point-slope form

Vertex form

Slope-intercept form

Standard form

Substitute y with 0 and solve for x

Substitute x with 0 and solve for y

Connect the intercepts with a straight line

Find the slope of the line

Substitute x with 0 and solve for y

Substitute y with 0 and solve for x

Connect the intercepts with a straight line

Find the slope of the line

Connect the intercepts with a straight line

Substitute x with 0 and solve for y

Substitute y with 0 and solve for x

Find the slope of the line

y = ax² + bx + c

y = mx + b

y = mx

y = mx + c

-3

2

3

-2

(2, -9)

(-1, 7)

(0, 5)

(-2, 1)

Slope = 2, y-intercept = 3

Slope = 3, y-intercept = -2

Slope = -2, y-intercept = 3

Slope = 3, y-intercept = 2

y = -5

x = 4

y = 4

x = -5

4/6

-6/4

6/4

-4/6