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
.
600,<span>We round the number up to the nearest hundred if the last two digits in the number are 50 or above.</span>
Based on the information given, it can be noted that Tom will use 117 days to read the book.
How to solve a equation.
Based on the information given, we are informed that Tom starts to read a book with 490 pages today. Sundays he reads 25 pages and on all other days he reads 4 pages.
Let the number of days be represented by x. Therefore, the equation to solve the question will be:
25 + (4 × x) = 490
25 + 4x = 490
4x = 490 - 25
4x = 465
x = 465/4
x = 116.25
x = 117
Therefore, he'll use 117 days to read the book.
Learn more about equations on:
brainly.com/question/13763238
Step-by-step explanation:
answer in photos
here m is intercept
Answer:
If your weekly allowance is 5, then for Christmas week your allowance was 15, then your allowance went up by: 5 =3 - 1 = 2 x 100 =200%.