AL13 LESSON-5.6AL13 LESSON-5.6

AL13 LESSON-5.6

Most are written in slope-intercept form.Slope-intercept form : y=mx+bAnother used form :

→ standard formStandard(or general) form : Ax+By=CVariable terms:on Left side / Constant term : Right side

A, B, C represent real numbers

A and B are not both 0.

AL13 LESSON-5.6

Write in standard form with

integer coefficientsIsolate the :

Variable terms → Left Constant term → Right.

AL13 LESSON-5.6

Write original Equation

Multiply each side by 5

5y=2x-15 Use distributive property

-2x+5y=-15 Subtract 2x from each side

AL13 LESSON-5.6

A linear equation can have more than one standard form.

EX.) If you multiply each side of the standard form above by -1, you get

2x-5y=15Standard

Form

AL13 LESSON-5.6

Writing Linear Equations Standard form of a line passing through (-8,6)

with a slope of -2. y-y₁=m(x-x₁) -> Write point-slope form.y-6=-2(x+8) -> Substitute.y-6=-2x-16 -> Distributive property.2x+y=-10 -> Add 2x and 6.

Finished!!!

AL13 LESSON-5.6

Horizontal and Vertical LinesHorizontal liney-coordinate of 2Standard form is y=2.

• Vertical linex-coordinate of 1Standard form is x=1.

AL13 LESSON-5.6

PracticeStandard form, standard form, standard

form…

(1,4) m=2 (0, 356)y-2x=2 y=356

x+3y-4=0x+3y=4

AL13 LESSON-5.6

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