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Which linear equation has a slope greater -1 but less than 0?

1. 5x+4y=20
2. 4x+5y=20
3. 5x-4y=20
4. 4x-5y=20​

User Moiz
by
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1 Answer

6 votes

Answer:

2. 4x + 5y = 20

Explanation:

Determine the slope of each of the equations;

y = mx + c

where;

m is the slope

In each of the given equations, make y the subject of the formula

1. 5x + 4y = 20

4y = 20 - 5x

y = (20/4) - (5x/4)

y = 5 - 5x/4

m = -5/4

2. 4x + 5y = 20

5y = 20 - 4x

y = 4 - 4x/5

m = -4/5 = -0.8

3. 5x - 4y = 20

4y = 5x - 20

y = 5x/4 - 5

m = 5/4

4. 4x - 5y = 20

5y = 4x - 20

y = 4x/5 - 4

m = 4/5

The question says, which of the slope is greater than - 1 but less than 0

- 1 < m < 0

The only equation with slope greater than -1 but less than 0 is 4x + 5y = 20, with slope -4/5 = -0.8