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➷ Perpendicular ==> negative reciprocal slope
1 = (-1/3)(3) + c
1 = -1 + c
c = 2
It would be y = -1/3x + 2
Q3) slope = difference in y / difference in x
Eq 1 slope: 1/3
Eq 2 slope: -1/3
Eq 3 slope: 1/3
Eq 4 slope: 3/1
It would be The line passing through points (1,4) and (4.3)
A line is perpendicular if it has the negative reciprocal slope
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Answer: Albert's grand father is 50 years older that Albert this year.
Step-by-step explanation:
Let x represent Albert's age this year.
Let x represent Albert's grandfather age this year.
This year Albert and his grandfather's ages total to 64 years. This means that
x + y = 64- - - -- - - - - -1
In 3 years, Albert's grandfather will be 6 times as old. This means that
y + 3 = 6(x + 3)
y + 3 = 6x + 18
y = 6x + 18 - 3
y = 6x + 15
Substituting y = 6x + 15 into equation 1, it becomes
x + 6x + 15 = 64
7x = 64 - 15 = 49
x = 49/7
x = 7
y = 6x + 15 = 6 × 7 + 15
y = 57
The difference between their ages is 57 - 7 = 50 years
Count the units between the points
Answer:
y = 10 + 2.50h
$25
Step-by-step explanation:
first the equation is written as such because she pays $10 no matter how many hours she rides. She also pays 2.50 for each hour so use h as the variable to define number of hours she rides the bike.
since equation is y = 10 +2.50h
and h = 6 hours, substitute and find the total cost
y = 10 + 2.50(6)
= 10 + 15
= $25
Answer:
B
Step-by-step explanation:
180 - 100 = 80
80 = 30 = 110
180 - 110 = 70
