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Lemur [1.5K]
2 years ago
6

What is the equation of the line that passes through the point (6,−7) and has a slope of -3/2

Mathematics
1 answer:
baherus [9]2 years ago
8 0

Answer:

y = -3/2x + 2

Step-by-step explanation:

slope-line equation : y = mx + b

slope is -3/2

Let's find the y-intercept using (6, -7)

y = mx + b

-7 = -3/2(6) + b

-7 = -18/2 + b

-7 = -9 + b

+9   +9

-----------------------

2 = b

So, y = -3/2x + 2 is your equation.

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0.4y − 0.2y + 10 = 11.8
mixer [17]

Answer:

0.2y+10

Step-by-step explanation:

6 0
3 years ago
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Which is the approximate solution for the system of equations 3x+4y=2 and 4x+y=-4
harina [27]

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4x+y=-4\qquad\text{subtract 4x from both sides}\\\\y=-4x-4\\\\for\ x=0\to y=-4(0)-4=0-4=-4\to(0,\ -4)\\\\for\ x=-1\to y=-4(-1)-4=4-4=0\to(-1,\ 0)\\\\Answer:\ \boxed{A.\ (-1.4,\ 1.5)}

6 0
3 years ago
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If x(x - 5) = 14, then what is x equal to
Artyom0805 [142]

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x(x-5) = 14

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x(x-7)+2(x-7)=0

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Hope this helps!

4 0
3 years ago
The Smiths spend 11% of their budget on entertainment. Their total budget this year is $1,000 more than last year, and this year
son4ous [18]

Answer:

$365,400

Step-by-step explanation:

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8 0
3 years ago
An individual purchased 300 program licenses; 50 licenses will go to the satellite office out of state, and the remaining licens
laila [671]

Answer:We DO NOT HAVE ALL THE INFORMATION needed to solve for how many licenses each central office department will get.

Step-by-step explanation:

Now, if this very individual acquired about 300 program licenses and 50 licenses are taken or conveyed to the departments in the satellite office of the same organization, then the number of licenses that will be moved to the central office is:

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= 250 licenses.

This implies that 250 licenses will be moved to the central office while 50 licenses will be kept/used at the satellite office.

Then, if there are eight (8) departments in the central office of this organization and 250 licenses will be evenly or equally distributed among the departments, each department will get:

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Alternatively, of the 2 licenses remaining, two departments will have an extra license or one of the departments will have the 2 licenses which will now make the license distribution in the central office uneven.

So, we don't have all the information we need to solve for how many licenses each central office department will get.

4 0
3 years ago
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