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BARSIC [14]
3 years ago
13

Choose the equation below that represent the line passing through the point (-2,-3) With a slope of -6

Mathematics
2 answers:
Gnom [1K]3 years ago
5 0
Y+3= -6 (x+2) is the correct equation

Len [333]3 years ago
4 0

Answer:

The equation of line is (y+3)=-6(x+2).

Step-by-step explanation:

It is given that the line passing through the point (-2,-3) with a slope of -6.

If a line passes through a point (x_1,y_1), then  point slope form of the line is

(y-y_1)=m(x-x_1)

where, m is slope of the line.

Substitute x_1=-2,y_1=-3 and m=-6 in the above equation.

(y-(-3))=-6(x-(-2))

On simplification we get

(y+3)=-6(x+2)

Therefore the equation of line is (y+3)=-6(x+2).

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Find the equation of a line that passes through (0,0) that is perpendicular to 2x+3y=-6
Dovator [93]

The slope-intercept form of a line:

y=mx+b

m - slope

b - y-intercept

Convert 2x + 3y = -6 to the slope-intercet form:

2x+3y=-6         <em>subtract 2x from both sides</em>

3y=-2x-6         <em>divide both sides by 3</em>

y=-\dfrac{2}{3}x-2

Let k:y=m_1x+b_1 and l:y=m_2x+b_2

l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}

We have m_1=-\dfrac{2}{3}

Therefore

m_2=-\dfrac{1}{-\frac{2}{3}}=\dfrac{3}{2}

We have the equation of a line:

y=\dfrac{3}{2}x+b

Put the coordinates of the point (0, 0) to the equation:

0=\dfrac{3}{2}(0)+b

0=b\to b=0

Answer: \boxed{y=\dfrac{3}{2}x}


8 0
3 years ago
Marion wants to know exactly what her mortgage payments will be each month. What type of mortgage would be her best choice?
Bogdan [553]
Her best choice would be to take a fixed rate mortgage because it would let her know exactly how much she would pay each month.
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Can anybody help out this math question it’s about graph please
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Now you have to decide between B and C. The intersection point has Sharon going upwards until she is 20. She started out at 70. The graph has John starting at 70. That's not right.


So we've eliminated A,D and now C.


The answer must be B. They meet when Sharon is 90 and John is about 22.5 which is what it should be.

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True [87]

Answer:

Numbers that never end and don't repeat either.  In definition, an irrational number is a number that cannot be written as a simple fraction.

Step-by-step explanation:

Examples of irrational numbers are:

*All square roots of natural numbers, except perfect squares, are irrational.:

-\sqrt{97}    -\sqrt{2}   -\sqrt{1001}

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