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3 years ago

A line passes through the point(-4,-6) and has a slope of 1/2 What is the equation of the line?

Mathematics

1 answer:

alex41 [277]3 years ago

4 0

Answer:

x-2y-8=0

Step-by-step explanation:

The equation of line is given by the relation

y-y1=m(x-x1)

where m is the slope

now, given x1=-4 and y1=-6 and the slope is 1/2.

substitute into the equation to get

y+6=1/2(x+4)

multiplying through with the L.C.M

which is 2

2(y+6)=1/2×2(x+4)

2y+12=x+4

making x the subject

x= 2y+8 hence the equation of the line is x-2y-8 =0

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3 years ago

What is the y-intercept of the following equation? y = 3x - 1

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Read 2 more answers

A cylinder has a radius of 14 m and a height of 6 m.

oksano4ka [1.4K]

Option D: $1176 \pi \ {m}^{3}$ is the volume of the cylinder

Explanation:

Given that the cylinder has a radius of 14 m and a height of 6 m

We need to find the exact volume of the cylinder.

The formula to determine the volume of the cylinder is given by

$Volume=\pi r^{2} h$

Let us substitute $r=14$ and $h=6$ in the above formula, we have,

$Volume=\pi (14)^{2} (6)$

Squaring the terms, we get,

$Volume=\pi (196)(6)$

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3 years ago

A city spent about 1/4 of its budget on buildings and maintenance, which was about 1/8 of the total budget less than it spent on

Yuliya22 [10]

Answer:

1/8 of the budget was left for other expenses.

Step-by-step explanation:

1/4 of the budget - buildings and maintenance.

Administrative personnel : 1/4 + 1/8 = 2/8 + 1/8 = 3/8 of the budget.

Therefore:

3/8 of the budget - administrative personnel.

Public safety : 3/8 - 1/8 = 2/8 = 1/4 of the budget.

For other expenses :

1 - ( 1/4 + 3/8 + 1/4 ) = 1 - ( 2/8 + 3/8 + 2/8 ) 1 - 7/8 = 1/8

Finally, 1/8 of the total budget was for the other expenses.

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3 years ago