warm up Write the slope and y-intercept for the following linear functions 1.y = 4x – 6 2.y = -3x y = 4 – 2x 4.y = 1/3x y = -2/3x

HW check On the paper I pass out to you (make sure and put your name at the top) Work out the following problems on your own, you may use your notes

Slope Intercept Form of a line The linear equation y = mx + b is written in slope-intercept form, where m is the slope and b is the y-intercept Y=mx + b Slope = m Y-intercept = b

Point Slope form The point slope form of the equation of the line through (x 1, x 2 ) with the slope m is y – y 1 = m(x - x 1 ) 1.Write the point slope form 2.Substitute slope and the point into the equation 3.simplify the expression

Put the slope and point into point slope form m = 4(1,3) m = ⅔(-3, 4) m = -2(-1, -3)

Put the slope and point into point slope form simplify to slope intercept m = - ⅔ (-3, 2) m = 7(2, -4) m = -2(7, 3)

Put the slope and point into point slope form simplify to slope intercept m = 5/2 (-3, 0) m = - 7(4, 2) m = 0(-2, -3)

Use the slope and the point to write the equation of the line shown in the graph

Given two points how would we find the intercepts?

The points (4,8) and (-1,-12) are on a line, find the intercepts of that line

The points (2,15) and (-4,-3) are on a line, find the intercepts of that line

word Problems Read through the entire problem Write down what you need for your answer Write down what you are given Consider possible ways that you can solve the problem

application

Point slope form What is point slope form? What is slope intercept form? What is the equation to find slope?