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Put the following equation of a line into slope-intercept form, simplifying all fractions.

12x-20y=60

2 Answers

5 votes

Answer:

y= (-3/5)x + 3

Step-by-step explanation:

Slope-Intercept form is y = mx + b, where m is the slope and b the y-intercept.

12x-20y=60 Rearrange

20y=60 -12x

20y= -12x + 60

y= (-12/20)x + (60/20)

y= (-3/5)x + 3

User Jeremyh
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7.5k points
3 votes

Final answer:

To convert the equation 12x - 20y = 60 to slope-intercept form, you subtract 12x from both sides and divide everything by -20, resulting in y = (3/5)x - 3 with a slope of 3/5 and a y-intercept of -3.

Step-by-step explanation:

To put the equation 12x - 20y = 60 into slope-intercept form and simplify all fractions, we need to solve for y. The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

First, we isolate y by subtracting 12x from both sides of the equation:

-20y = -12x + 60

Now, we divide both sides of the equation by -20 to solve for y:

y = (12/20)x - (60/20)

Simplifying the fractions, we get:

y = (3/5)x - 3

Thus, the slope-intercept form of the equation is y = (3/5)x - 3, with a slope of 3/5 and a y-intercept of -3.

User Smudge
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8.0k points