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Put the following equation of a line into slope-intercept form, simplifying all fractions.
12x-20y= 60

help I need the answer


Sagot :

raeqx

Answer:

[tex]y = \frac{3}{5}x - 3[/tex]

Step-by-step explanation:

To put this equation into slope-intercept form, we need to isolate y on one side of the equation.

First, we should move 12x to the right side of the equation. To do this, we need to subtract 12x from both sides.

12x - 20y - 12x = -20y (12x and -12x cancel out)

60 - 12x

We are left with;

-20y = 60 - 12x

To isolate y, we need to divide all the terms by -20.

-20y/-20 = y

60/-20 = -3

12x/-20 = [tex]\frac{12}{20}x[/tex]

[tex]\frac{12}{20}[/tex] can be simplified to [tex]\frac{3}{5}[/tex]

So, the equation we are left with is;

[tex]y = \frac{3}{5}x - 3[/tex]

Hope this helps!