Answer:
Part 1) The product of 3 and 2y-4x=8 is [tex]6y-12x=24[/tex]
Part 2) The original equation in slope intercept form is [tex]y=2x+4[/tex]
Part 3) The new equation in slope intercept form is [tex]y=2x+4[/tex]
Step-by-step explanation:
we have
[tex]2y-4x=8[/tex]
step 1
Find out the product of 3 and 2y-4x=8
Multiply both sides by 3
[tex]3(2y-4x)=3(8)[/tex]
Apply distributive property both sides
[tex]6y-12x=24[/tex]
step 2
Find out the original equation in slope intercept form
The equation of the line in slope intercept form is
[tex]y=mx+b[/tex]
we have
[tex]2y-4x=8[/tex]
Solve for y
That means ----> Isolate the variable y
Adds 4x both sides
[tex]2y=4x+8[/tex]
Divide by 2 both sides
[tex]y=(4x+8)/2[/tex]
Simplify
[tex]y=2x+4[/tex]
step 3
Find out the new equation in slope intercept form
The equation of the line in slope intercept form is
[tex]y=mx+b[/tex]
we have
[tex]6y-12x=24[/tex]
Solve for y
That means ----> Isolate the variable y
Adds 12x both sides
[tex]6y=12x+24[/tex]
Divide by 6 both sides
[tex]y=(12x+24)/6[/tex]
Simplify
[tex]y=2x+4[/tex]
