Writing Equations Objective: By the end of this section students will be able to write the equation of line from word problems, tables and scatter plots.

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Presentation transcript:

Writing Equations Objective: By the end of this section students will be able to write the equation of line from word problems, tables and scatter plots.

Equation of a line Standard form Ax + By = C Slope Intercept Y=mx+b Point Slope (y-y)=m(x-x)

Slope Intercept Y=mx+b What do the letters stand for? y y coordinate of any point on the line m slope of the line, keep as a fraction x x coordinate of any point on the line b the y intercept, where line crosses the y axis

Given an Equation Solving for y Get all y terms on one side of the equation Get all other terms on opposite side of the equation These are usually done with addition or subtraction Divide by coeficient of y term

Example 2x-4y=12 4y+3x-20=0

Given Graph Find slope between 2 points Find where line crosses y axis Write the equation

Example If x and y axis are counting by ones, find the equation of the line

Given Slope and y int If you are given the slope and y-int just substitute those values into the equation M=2/3 B=4 or (0,4) Y=2/3x+4

Example

Slope and a point You need to calculate the y-int Sub the slope in for m and the ordered pair in for x and y Calculate the value of b substitute those values into the equation

Example

2 Points Calculate the slope Calculate the y-int Write equation

Example

Other Parts of Lines How could you calculate the x-intercept? Set y=0 and solve for x Graph it and find point How could you calculate the y-intercept? Set x=0 and solve for y Solve for y and look for b

Example Calculate the x and y intercepts

Homework Worksheet on equations of lines in slope intercept form Finding x and y intercepts