Given:
Equation of line 
.
To find:
The equation of line that goes through the point ( − 21 , 2 ) and is perpendicular to the given line.
Solution:
The given equation of line can be written as
Slope of line is
Product of slopes of two perpendicular lines is -1. So, slope of perpendicular line is
![[\because m_1=\dfrac{7}{4}]](https://tex.z-dn.net/?f=%5B%5Cbecause%20m_1%3D%5Cdfrac%7B7%7D%7B4%7D%5D)
Now, the slope of perpendicular line is 
and it goes through (-21,2). So, the equation of line is
Therefore, the required equation in slope intercept form is .
Answer:
(0,-1)
Step-by-step explanation:
You look at where the line intercepts the y axis, which is at (0,-1)
Answer:
11 up , 11 left
Step-by-step explanation:
Given
to 
Required
Determine the translation rule
Considering the x coordinates.
From 17 to 6
6 is to the left of 17.
Using the translation rule:
<em>Hence: From 17 to 6 is 11 units left translation</em>
Considering the y coordinates.
From -9 to 2
2 is at the top -9.
Using the translation rule:
The negative value impies a upward translation.
Hence: From -9 to 2 is 11 units up translation
Answer:In a free market economy, the law of supply and demand, rather than a central government, regulates production and labor. Companies sell goods and services at the highest price consumers are willing to pay, while workers earn the highest wages companies are willing to pay for their services. A purely capitalist economy is a free market economy; the profit motive drives all commerce and forces businesses to operate as efficiently as possible to avoid losing market share to competitors.
Step-by-step explanation:
answer: 4
Step-by-step explanation:
