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38 vote

What is the equation of the line if its slope is $\frac{3}{4}$ and y-­intercept is 5?

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What is the equation of the line if its slope is $\frac{3}{4}$ and y-­intercept is 5?
1). 3x + 4y = ­-20
2). 3x + 4y = 20
3). 3x ­- 4y = -­20
4). 3x ­- 4y = 20

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2 answers

41 vote
Answered by on | Votes 41 | | Last Updated: 2021-08-04 04:54:46

correct answer was option 3

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27 vote
Answered by on | Votes 27 | | Last Updated: 2021-08-04 04:54:29

We know that equation of a line is,

y  = mx + c

where m is slope and 

c is y - intercept.

Given : m = 3/4 and c = 5

Substituting the given values in the equation we get

y = 3/4 x + 5

y - 5 = 3/4 x

4 (y - 5 ) = 3 x

4y - 20 = 3x

Rearranging the equation we get 

3x - 4y = -20

So, the correct option is 4). 3x - 4y = -20 

Accepted Answer