For two lines to be perpendicular, their slopes must be negative reciprocals of one another, mathematically:
m1*m2=-1, in this case our reference line has a slope of -3 so:
-3m=-1 divide both sides by -3
m=-1/-3
m=1/3
So the perpendicular line will have a slope of 1/3
Answer: 7 inches
Step-by-step explanation:
If x is the first piece, and the second piece is twice as long, then the second piece is 2x.
If the third piece is three times as long as the first piece, x, then the third piece is 3x.
The 42-inch board must be equal to all 3 pieces, so we will set up an equation and solve for x.
42 = x + 2x + 3x
42 = 6x
42 = 6x
7 = x
The first piece is 7 inches long.
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Answer:
y - 2 = (1/8)(x + 8)
Step-by-step explanation:
The slope of the given line is -8. That means the slope of any line perpendicular to the given line will be the negative reciprocal of -8, which would be (1/8).
Then the desired equation is
y - 2 = (1/8)(x + 8)
Answer:
y = 1/2x + 1
Step-by-step explanation:
m = 1/2
Slope-intercept:
y - y1 = m(x - x1)
y - 3 = 1/2(x - 4)
y - 3 = 1/2x - 2
y = 1/2x + 1
