Find the equation of the line in standard form for the given slope and point
1.(3,1) m=-3
2.(0,-4) m= 1/2

Answer:
1. y - 1= -3(x-3)
y - 1 = -3x + 9
y= -3x + 10
3x + y = 10
2. y + 4 = 1/2(x - 0)
y + 4 = 1/2x - 0
y = (1/2)x - 4
-x + 2y = -8
Step-by-step explanation:
2. y + 4 = ½(x)
y + 4 = ½x
- 4 - 4
_______________
y = ½x - 4 [Slope-Intercept Form]↷
-½x - ½x
______________
-2[-½x + y = -4] [We do not want denominators in our equation, so multiply by -2 to get rid of it.] ↓
x - 2y = 8 [Simplified in Standard Form]
1. y - 1 = -3(x - 3)
y - 1 = -3x + 9
+ 1 + 1
_______________
y = -3x + 10 [Slope-Intercept Form]
+ 3x +3x
______________
3x + y = 10 [Standard Form]
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