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3 years ago

Write an equation in slope intercept form of the line that passes through (-2,10) and (1,1).

Mathematics

1 answer:

tamaranim1 [39]3 years ago

3 0

Answer:

Step-by-step explanation:

1st use the two points to find the slope of the line that passes thru those two points

m = y2 - y1 / x2 - x1

where point1 = ( x1, y1 ) and point2 = (x2, y2 )

your are given P1 = ( -2,10) and P2 = (1,1)

find the slope

m = 1-(-2) / 1-10

m = 1+2 / -9

m = 3 / -9

m = - 1/3

then use the point-slope formula [y-y1 = m(x-x1)] with either of the two points, I'll use P2 b/c it seems easier (1,1) , you get the same results with either point and work the problem to the slope-intercept form [y = mx +b ]

y -y1 = m(x-x1)

y-1 = -1/3(x-1)

y-1 = -1/3x + 1/3

y = -1/3x + 1/3 + 1

y = -1/3x + 4/3

:) got it ?

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the volume V of a gas at a constant temperature varies inversely with the pressure P. when the volume is 100 cubic inches the pr

fiasKO [112]

Answer:

The pressure is $20\ psi$

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form $y*x=k$ or $y=k/x$

In this problem we have

$V*P=k$

where

V is the volume of a gas at a constant temperature

P is the pressure

we have

For $V=100\ in^{3}$ , $P=25\ psi$

step 1

Find the value of k

substitute the values of V and P

$100*25=k$

$k=2,500$

The equation is equal to $V*P=2,500$

step 2

Find the pressure when the volume is 125 cubic inches

For $V=125\ in^{3}$

substitute in the equation and solve for P

$125*P=2,500$

$P=2,500/125=20\ psi$

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3 years ago

Solve 10+(-15)-5=-5 true, false, open

marysya [2.9K]

False because the answer would be -10

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3 years ago

Justin walked 3 miles north and 6 miles west. starting from the same point, tina walked 2 miles south and 4 miles east. how far

Darya [45]

Basically, Justin and Tina's paths form two right-angled triangles whose hypotenuses(?) form a straight line between their end points. Therefore we need to find the two distances from the starting point and add them.
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Tina walked 2 miles south and 4 miles east so her distance from the starting point is the square root of 4 + 16 or 20. This can be written as 2√5.
If we add these two distances together we get 5√5. Hence, Justin and Tina are 5√5 miles away from each other.

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Answer:

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mario62 [17]

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3 years ago