First, let's find the slope of the line from the points given.
m = (4 - - 2) / (3 - 1)
m = 6 / 2
m = 3
Secondly, we know that a line perpendicular to the original must have a slope that is the opposite reciprocal of the original. For the given points, the opposite reciprocal slope would be -1/3.
Now, we can put all of the equations below into slope intercept form and find the ones that have a slope of -1/3.
Equation 1: Correct
y = -1/3x - 5
Equation 2: Incorrect
y = 3x - 3
Equation 3: Incorrect
y - 2 = 3(x + 1)
y - 2 = 3x + 1
y = 3x + 2
Equation 4: Correct
x + 3y = 9
3y = -x + 9
y = -1/3x + 3
Equation 5: Incorrect
3x + y = -5
y = -3x - 5
Hope this helps!! :)
Step-by-step explanation:
Answer:
-12 47/60
Step-by-step explanation:
-(1 1/5) + (-8 3/4 -2 5/6) = -(1 + 8 + 2 + 1/5 + 3/4 + 5/6)
= -(11 + 12/60 +45/60 +50/60) . . . 60 is the LCD of 1/5, 3/4, 5/6
= -(11 + 107/60) . . . . . . . . . . . . . . . . add the fractions
= -(12 47/60) = -12 47/60 . . . . . . . write as a mixed number
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Your graphing calculator may be able to do this for you. Many handle mixed numbers with ease.
