Standard Form - to - Slope-Intercept Form (notes)

Standard Form - to - Slope-Intercept Form

​Standard Form - to - Slope-Intercept Form

​-specific form of linear equations

-​another way to write a linear equation

Multiple Choice

Which equation is in standard form?

• $$7y=3x-1$$  

• $$y=\frac{1}{5}x+8$$  

• $$9x-y=12$$  

• $$x=7-y$$  

Multiple Choice

Which is in slope-intercept form?

• $$7y=3x-1$$  

• $$y=\frac{1}{5}x+8$$  

• $$9x-y=12$$  

• $$x=7-y$$  

​To change from Standard Form to Slope-Intercept Form, you solve the equation for y.

• First, add or subtract the "x" term

• ​Second, divide by the coefficient (# in front of) "y".

• ​Finally, simplify, if you can.

​Ex. 1)

​Ex. 2)

​Ex. 3)

​Ex. 4)

​Ex. 5)

Multiple Choice

Which represents  $$4x-2y=6$$  in slope intercept form?

• $$y=2x-3$$  

• $$y=-2x+3$$  

• $$y=\frac{1}{2}x-3$$  

• $$y=2x+8$$  

Multiple Choice

Write $$x+5y=10$$  in slope intercept form.

• $$y=-5x+2$$  

• $$y=-\frac{1}{5}x+5$$  

• $$y=5x+2$$  

• $$y=-\frac{1}{5}x+2$$  

Multiple Choice

Which represents  $$-2x-3y=12$$  in slope intercept form?

• $$y=-\frac{2}{3}x-4$$  

• $$y=2x-4$$  

• $$y=-\frac{2}{3}x+4$$  

• $$y=\frac{2}{3}x+4$$  

Multiple Choice

Which represents $$-x-y=0$$  in slope intercept form?

• $$y=x$$  

• $$y=-x$$  

• $$y=0$$  

• $$y=x+1$$