Question

Select the equation in which the graph of the line has a negative slope and the y-intercept equals -4.

1) 5x +3y=4
2) 5x -3y= -4
3) 4x + 16y= -20
4) 6x + 2y = -8

Answer 1

To help answer this question, put each equation into slope intercept form:

1) 5x+3y=4

3y=-5x+4

`y=-(5)/(3)x+(4)/(3)`

2) 5x-3y=-4

-3y=-5x-4

`y=(5)/(3)x+(4)/(3)`

3) 4x+16y=-20

16y=-4x-20

`y=-(1)/(4)x-(5)/(4)`

4) 6x+2y=-8

2y=-6x-8

`y=-3x-4`

So the only equation that satisfies the conditions is number 4