Convert the equation (y + 2) = –1/3(x – 4) to the point-slope form. Then fill in the blanks below to describe how to graph the equation. Plot the point , move unit(s) down, and unit(s) over to find the next point on the line. A. (–2, 4), one, three

B. (4, –2), one, three

C. (2, 4), one, three

D.(4, –2), three, one

A. (–2, 4), one, three

Step-by-step explanation:

For a linear equation:

y = a*x + b

the point-slope form is:

(y - y₁) = m*(x - x₁)

Where we know that this line has the slope m, and passes through the point (x₁, y₁)

In this case, the equation:

(y + 2) = –1/3(x – 4)

is already in the point-slope form.

here we have:

y₁ = -2

x₁ = 4

then the point is (-2, 4)

m = -(1/3)

m = -1/3 means that when we move 3 units to the right, we need to move one unit down. (or the inverse, we can move one unit down and 3 to the right)

So, to complete the statement we have:

plot the point (-2, 4),  move one unit down, and three units over to find the next point on the line.

The correct option is A.

. + λrh() e 1 1 2 4 4 4 4 4 3 4 4 4 4 4 + th−1(− s(x)2 dx ω + λrh−1() e 2 1 2 4 4

step-by-step explanation:

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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