AL13 LESSON5.6
AL13 LESSON5.6
Most are written in slope-intercept form.
Slope-intercept form : y=mx+b
Another used form :
→standard form
Standard(or general) form : Ax+By=C
Variable terms:on Left side / Constant term : Right side
A, B, C represent real numbers
A and B are not both 0.
Writing an Equation in
Standard Form
Write
AL13 LESSON5.6
in standard form with
integer coefficients
Isolate the :
 Variable terms → Left
 Constant term → Right.
AL13 LESSON5.6

Write original Equation

Multiply each side by 5

5y=2x-15
Use distributive property

-2x+5y=-15
Subtract 2x from each side
AL13 LESSON5.6
 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=15
Standard Form
AL13 LESSON5.6
Writing Linear Equations
 Standard form of a line passing through (-8,6) with a
slope of -2.
 y-y₁=m(x-x₁)
 y-6=-2(x+8)
 y-6=-2x-16
 2x+y=-10
 Finished!!!
-> Write point-slope form.
-> Substitute.
-> Distributive property.
-> Add 2x and 6.
AL13 LESSON5.6
Horizontal and Vertical Lines
 Horizontal line
 y-coordinate of 2
 Standard form is y=2.
• Vertical line
 x-coordinate of 1
 Standard form is x=1.
AL13 LESSON5.6
Practice
 Standard form, standard form, standard form…
 (1,4) m=2
 y-2x=2
 x+3y-4=0
 x+3y=4
(0, 356)
y=356
AL13 LESSON5.6
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