Ask question

Ask question

All categories

riadik2000 [5.3K]

2 years ago

10

write an equation in general form of the line passing through (3, -5) whose slope is the negative reciprocal of -1/4

1 answer:

IceJOKER [234]2 years ago

4 0

Negative reciprocal means
-1/4 times x=-1 solve for x
multiply both sides by -4/1
x=-4
so slope=-4
y=mx+b
m=slope, b=y intercpet
y=-4x+b
input 3 for x and -5 for y
-5=-4(3)+b
-5=-12+b
add 12 to both sides
7=b
the equation in slope intercept form is y=-4x+7
that is my standard form
another standard form is
y+4x=7

You might be interested in

In the triangle XYZ the measure of angle YXZ is 50 degrees and the measure of angle XYZ is 75 degrees. What is the measure of an

lbvjy [14]

<h2>Answer: 55 degrees</h2>

Step-by-step explanation:

Every triangle has 3 sides and 3 interior angles whose measures sum to 180 degrees. For example, a triangle with angles $\theta$ , $\alpha$ and $\beta$ :

$\theta+\alpha+\beta=180\º$

Following this rule, we will apply it to the angles XYZ, YXZ and the unknown XZY:

$XYZ+YXZ+XZY=180\º$

$50\º+75\º+XZY=180\º$

$XZY=180\º-50\º-75\º$

Finally:

$XZY=55\º$

8 0

2 years ago

Read 2 more answers

In the inequality 6a+4b>10, what could be the possible value of a if b=2?

Arlecino [84]

We are given the following inequality:

$6a+4b>10$

If we replace b = 2, we get:

$\begin{gathered} 6a+4(2)>10 \\ 6a+8>10 \end{gathered}$

Now we solve for "a" first by subtracting 8 on both sides:

$\begin{gathered} 6a+8-8>10-8 \\ 6a>2 \end{gathered}$

Now we divide both sides by 6

$\frac{6a}{6}>\frac{2}{6}$

Simplifying:

$a>\frac{1}{3}$

Therefore, for b = 2, the possible values of "a" are those that are greater than 1/3

3 0

1 year ago

A circle has a radius of 3. An arc in this circle has a central angle of 20 degrees. What is the length of th arc?

dexar [7]

I got 1.047198m

hope this helps

7 0

3 years ago

Consider the number line with the plotted square roots.

ZanzabumX [31]

Answer: 19 Startroot and 24 endroot

Step-by-step explanation:

8 0

3 years ago

Darren runs 1/4 a mile in 2.5 mins. how long will it take him to run a full mile?

rusak2 [61]

it is simple, you multiply 2.5 by 4

2.5*4=10

6 0

3 years ago