alg1 7.8 point-slope form

Algebra 1

Lesson 7.8

Point-Slope Form

Slope-Intercept Form

Table Discussion

Slope

Standard Form

Given Tool

Slope

Formula

Standard

Form

Slope-

Intercept

Form

?pointpoint

y-interceptslope

x-intercept

point

Ultimate Goal:

With given information...

Know the name of the line,

and be able to graph it

y = mx + b y = mx + b

Slope Formula Slope-Intercept Form

Standard Form Point-Slope Form

Variations of Point-Slope Form:

y - y1 = m(x - x1)y - y0 = m(x - x0)y - y = m(x - x )

point: (-1,3) slope: 3Given:

y - y1 = m(x - x1)

point: (-3,-1) slope: 2y - y1 = m(x - x1)

Given:point: (-4,-3) slope: 2y - y1 = m(x - x1)

Given:

DO IT BACKWARDS!

Given: Point-Slope form, Find: slope & point

BACKWARDS!

y - y1 = m(x - x1)

Slope: Point:

y - 3 = (x + 2)34

You're Turn: "Your"

SMOTD

Slope: Point:

y + 4 = (x - 9)12

A DJ Company charges a $200 set-up fee, then $50 per hour. The table below represents the cost per hour including the set-up fee.

Hour(x) 1 2 3 4 5 6Cost(y) 250 300 350 400 450 500

y - y1 = m(x - x1)

http://www.youtube.com/watch?v=DWw-g5F6NgM

4:57

Homework: