Chapter 4 Vocabulary -Not finished Flashcards
Slope-Intercept Form
y=mx+b
m=slope : b=y-intercept
Example: y=5x+8
What are the steps to…
Solve for B
Slope-Intercept Form
- Put in y, x, and m (slope)
- Find the variable (b)
- Put m and b into y=mx+b
Point-Slope Form
y-y1=m(x-x1)
m=slope : y1=y in coordinate pair : x1=x in coordinate pair
Example: y-5=7(x-3)
What are the steps to…
Go From Point-Slope to Slope-Intercept
- Distribute
- Isolate y
y+7=2(x-6) : y+7=2x-12 : y=2x-19
What are the steps to…
Go From Slope-Intercept to Standard Form
- Move x
y=2x-19 : y-2x=-19 or -2x+y=-19
What are the steps to…
Go from Standard-Form to Slope-Intercept
- Move x
- Isolate y
4x+6y=12 : 6y=-4x+12 : y=(-2/3)x+2
Standard Form
Ax+By=C
Example: 6x+8y=90
How do the slopes of parallel lines compare?
Parallel lines have the same slope
Example: 3/4 and 3/4
How do the slopes of perpendicular lines compare?
They have opposite, reciprocal slopes
example: 3/4 and -4/3
Exception: Vertical and horrizontal lines have 0 and undefined as the slope