All categories

3 years ago

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

2 answers:

5 0

B=y=-x/2-1 <span>(-6,2). When x of the line is -6, y of the line must be 2.</span>Because you said the line passes through this point, right?

Now, look at our line's equation so far: . b is what we want, the -1/2 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the the point (-6,2).

So, why not plug in for x the number -6 and for y the number 2? This will allow us to solve for b for the particular line that passes through the point you gave!.

<span>(-6,2). y=mx+b or 2=-1/2 × -6+b, or solving for b: b=2-(-1/2)(-6). b=-1.</span>

Minchanka [31]3 years ago

4 0

b=y=-x/2-1 is the correct awnser

You might be interested in

someone please explain to me how to find the area PLEASE! Find the area and perimeter of quadrilateral ABCD below. Explain your

Lunna [17]

Answer:

Part A) The area of the figure is $24\ units^{2}$

Part B) The perimeter of the figure is $20\ units$

Step-by-step explanation:

step 1

Find the area of the figure

we know that

The area of the figure is equal to the area of triangle ABD plus the area of triangle BCD

The area of triangle is equal to

$A=\frac{1}{2}bh$

<u>Area of triangle ABD</u>

Observing the graph

$b=BD=(-2+8)=6\ units$

$h=(9-5)=4\ units$

substitute

$A=\frac{1}{2}(6)(4)=12\ units^{2}$

<u>Area of triangle BCD</u>

Observing the graph

$b=BD=(-2+8)=6\ units$

$h=(5-1)=4\ units$

substitute

$A=\frac{1}{2}(6)(4)=12\ units^{2}$

The area of the figure is

$12\ units^{2}+12\ units^{2}=24\ units^{2}$

step 2

Find the perimeter of the figure

we know that

The perimeter of the figure is equal to

$P=AB+BC+CD+AD$

we have

$A(-5,1),B(-8,5),C(-5,9),D(-2,5)$

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

Find the distance AB

$d=\sqrt{(5-1)^{2}+(-8+5)^{2}}=5\ units$

Find the distance BC

$d=\sqrt{(9-5)^{2}+(-5+8)^{2}}=5\ units$

Find the distance CD

$d=\sqrt{(5-9)^{2}+(-2+5)^{2}}=5\ units$

Find the distance AD

$d=\sqrt{(5-1)^{2}+(-2+5)^{2}}=5\ units$

substitute the values

$P=5+5+5+5=20\ units$

7 0

3 years ago

Amanda bought $500 bond with a 6% coupon that matures in 20 years. What are amanda's total annual earnings for this bond?

horrorfan [7]

Answer:

dont listen to this kid its $30.00 on APEX

Step-by-step explanation:

5 0

3 years ago

On Roberto's shelf there are:

Sergio039 [100]

Answer:

he would have a 20% chance he will pick a history book, so in decimal form it would be .2

Step-by-step explanation:

7+6+4+3=20

20*5=100

5*4=20

5 0

3 years ago

The graph of is shown below. What is the value of y when x = 0?

jarptica [38.1K]

$\huge\text{Hey there!}$

$\huge\textsf{This equation/question should be easy to}\\\\\huge\textsf{to solve for because, we have everything you}\\\\\huge\textsf{you will need on your graph and somewhat in}\\\\\huge\textsf{the question because it already gave you the}\\\\\huge\boxed{\mathsf{x-intercept}}\huge\textsf{.}$
$\mathsf{y = |x| - 2}$