5.4 Standard Form

WARM UPSOLVING EQUATIIONS Solve the equation. (lesson 3.3)8 + y = 3y 9 = 26(x + 15) = 1202(x + 5) =1841WARM UPSOLVING EQUATIIONS Solve the equation. (lesson 3.3)8 + y = 3y 9 = 26(x + 15) = 1202(x + 5) =1832WARM UPSOLVING EQUATIIONS Solve the equation. (lesson 3.3)8 + y = 3y 9 = 26(x + 15) = 1202(x + 5) =1823WARM UPSOLVING EQUATIIONS Solve the equation. (lesson 3.3)8 + y = 3y 9 = 26(x + 15) = 1202(x + 5) =1814SOLVING EQUATIIONS Solve the equation. (lesson 3.3)8 + y = 3y 9 = 26(x + 15) = 1202(x + 5) =18WARM UP0

CERTIFIED55.4 Standard FormWha two spect in the nex 6 daze!

2/3 5.4b2/4 5.3 5.4 Review2/5 Quiz 2/6 5.62/7 Unit 5 Review2/10 Unit 5 Test

5.4 Standard FormTodays Schedule:Lesson 5.4 PowerpointIn class assignment/homeworkGOAL: Write an equation of a line in standard form.

KEY WORDSStandard formSlope-intercept formPoint-slope formIntegercoefficient

5.4 Standard FormSTANDARD FORMThe STANDARD FORM of an equation of a line is:

Ax + By = C

Where A and B are integers (not fractions) and not both zero.5.4 Standard FormEXAMPLE 3 Write an Equation in Standard Form

A line intersects the axes at (4, 0) and (0, 3). Write the equation of the line in standard form.

SOLUTIONFind the slope.

m = y2 y1x2 - x15.4 Standard FormEXAMPLE 3 Write an Equation in Standard Form

A line intersects the axes at (4, 0) and (0, 3). Write the equation of the line in standard form.SOLUTIONWrite an equation of the line using slope-intercept form.y = mx + b

5.4 Standard FormEXAMPLE 35.4 Standard FormPRACTICE Write in standard form an equation of the line that intersects the axes at (2,0) and (0,5)

5.4 Standard FormHORIZONTAL AND VERTICAL LINESRecall from Lesson 4.5 that the slope of a horizontal line is ZERO and the slope of a vertical line is UNDEFINED. In example 4 you will learn how to write equations of horizontal and vertical lines in standard form.5.4 Standard FormEXAMPLE 4 Equations of Horizontal and Vertical Lines

Write an equation of the RED line in standard form.SOLUTIONEach point on this horizontal line has a y-coordinate of -3. So, the Equation of the line is y = -3.This equation is in STANDARD FORM

5.4 Standard FormEXAMPLE 4 Equations of Horizontal and Vertical Lines

Write an equation of the RED line in standard form.SOLUTION

Each point on this vertical line has a x-coordinate of 2. So, the Equation of the line is x = 2.This equation is in STANDARD FORM5.4 Standard FormPRACTICE Write an equation of the line in standard form.

5.4 Standard FormPRACTICE Write an equation of the line in standard form.

5.4 Standard FormYOUR TURNPage 295 #s 30-44