Ask question

Ask question

All categories

11111nata11111 [884]

2 years ago

10

What is the equation in point slope form of a line that is parallel to the given line and passes through the point (4,1)

1 answer:

FinnZ [79.3K]2 years ago

6 0

The equation will have the form y=ax+b. a is the slope, and b is the y value at x=0.

The slope is -2 (that's our a), which you can see from the two given points. If x progresses from -3 to -2, y goes from 3 to 1. At x=0, the line crosses through y=-3 (that's our b)

So our generic form y=ax+b for this line is y=-2x-3

You might be interested in

I need help on this

Sever21 [200]

Answer:

The heat from the sun is making the sand hot and heat from the food on plate is making the plate hot

3 0

2 years ago

For the equation ae^ct=d, solve for the variable t in terms of a,c, and d. Express your answer in terms of the natural logarithm

saveliy_v [14]

We have been given an equation $ae^{ct}=d$ . We are asked to solve the equation for t.

First of all, we will divide both sides of equation by a.

$\frac{ae^{ct}}{a}=\frac{d}{a}$

$e^{ct}=\frac{d}{a}$

Now we will take natural log on both sides.

$\text{ln}(e^{ct})=\text{ln}(\frac{d}{a})$

Using natural log property $\text{ln}(a^b)=b\cdot \text{ln}(a)$ , we will get:

$ct\cdot \text{ln}(e)=\text{ln}(\frac{d}{a})$

We know that $\text{ln}(e)=1$ , so we will get:

$ct\cdot 1=\text{ln}(\frac{d}{a})$

$ct=\text{ln}(\frac{d}{a})$

Now we will divide both sides by c as:

$\frac{ct}{c}=\frac{\text{ln}(\frac{d}{a})}{c}$

$t=\frac{\text{ln}(\frac{d}{a})}{c}$

Therefore, our solution would be $t=\frac{\text{ln}(\frac{d}{a})}{c}$ .

5 0

3 years ago

Find interquartile range for 3,4,5,6,7

lions [1.4K]

3, 4, 5, 6 and 7
Q 1= (3+4)/2=3.5
Q 2= (4+5)/2=4.5
Q 3=(5+6)/2=5.5
Interquartile range =Q3-Q1
=5.5-3.5
=2

8 0

2 years ago

Read 2 more answers

A) What are the coordinates of the image of vertex G after a reflection across the line y = x?

Oksanka [162]

Answer:

b. (-5, 4)

Step-by-step explanation:

edge2020

3 0

2 years ago

Her investment grew 22% to$610 how much did she invest____ ( solve as an equation or fraction)

Ivan

X + 0.22x = 610
1.22x = 610
x = 500

$500

5 0

2 years ago