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3x+y=-6 find x intercept, y intercept, slope

Sagot :

3x+ y=-6             substitute "x" for 0
3(0) + y=-6
y= -6

3x+y=  -6
                                   substitute "y" for 0
3x+0=  -6
---       -----
3          3

x=  -2

slope is -3



     


Re-arrange so y is subject of formula:
y = -6 - 3x
y = -3x - 6
y = mx + c
c is y intercept and m is gradient (slope)
so, slope is -3, y intercept is -6.
To find the x intercept, you need to find what x is when y is 0, so substitute:
0 = -3(x) -6
Re-arrange
6 = -3 (x)
6 ÷ -3 = x
- 2 = x intercept

so y intercept =-6, slope = -3 , x intercept = -2