Given m=1/3, what is the parallel slope? what is the perpendivular slope?

parallel: m = 1/3

perpendicular: m = -3

Step-by-step explanation:

Parallel line:

Slopes of parallel lines are equal.

If the given line has slope 1/3, then the parallel line also has slope 1/3.

Perpendicular line:

The slopes of perpendicular lines are negative reciprocals. That means that the product of the slopes is -1. That also means that to find the slope of a perpendicular line to a given line, first find the reciprocal of the slope of the given line (flip the fraction), then change the sign.

The slope of the perpendicular line and the slope of the line must multiply to -1.

Start with the given slope, 1/3. Now flip it to get 3/1 which is simply 3. Now change the sign to -3. The slope of the perpendicular is -3.

Check: multiply the slopes. They must have a product of -1.

1/3 * (-3) = 1/3 * (-3/1) = -3/3 = -1

The product is -1, so the slope of the perpendicular, -3, is correct.

c: y > - 1/6x + 1

step-by-step explanation:

dashed line - meaning this < or > also not equal

solid line - meaning this < or > also equal

your answer is c because y > means up & it's shaded up, but y < means down

hope this ! : )

2 & 7

step-by-step explanation:

he climbs 300 ft/hr at a constant rate. the peak is at 1,500 ft.

when going up, he reaches 600 ft in 2 hours. remember, that he is going in a constant rate. divide 600 with 300:

600/300 = 2

assuming that he takes the same route back (meaning that it's a 1500 ft route back, you can solve.

note also that you are solving when he gets back to 600 ft after he reaches the peak.

first, find the amount of hours it takes to get up the peak. divide the total amount (1500), with the ft/her (300) to get the amount of hours (x):

1500/300 = x

x = 5

it takes jamie 5 hours to get up. now, he is returning down, and reaches 600 (his current destination). remember that he climbs at a constant 300 ft/hr. divide 600 with 300:

600/300 = x

x = 2

now add the two numbers together.

x = 5 + 2 = 7

jamie takes 7 hours to go up the mountain and reach his current position when descending.

(total amount/constant rate) = (time).

remember that it is a constant rate, so in total, when he gets back down the mountain, it will take the same amount of time as when he goes up. the total amount for the round trip is: 5 + 5 = 10.

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