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
.
270(pi/180)=3pi/2=theta
theta*radius=arc length
(3pi/2)(14)=65.9734 yds
The sketch answers to question 8, 9 and 10 is given in the image attached.
<h3>What is an intersecting lines?</h3>
A link is known to be intersecting if two or more lines are said to have cross one another in a given plane.
Note that the intersecting lines are known to be one that often share a common point, and it is one that can be seen on all the intersecting lines, and it is known to be the point of intersection.
Looking at the image attached, you can see how plane A and line c intersecting at all points on line c and also GM and GH and line CD and plane X as they are not intersecting
Therefore, The sketch answers to question 8, 9 and 10 is given in the image attached.
Learn more about intersecting lines from
brainly.com/question/2065148
#SPJ1
Move the -5 over by adding 5 to both sides
3x^2+4x+5=0
must use quadratic formula
for an equation in the form
ax^2+bx+c=0
x=

a=3
b=4
c=5
x=

x=

x=

x=

remember that√-1=i
x=

x=

x=

or x=
Count down until you reach the line the point is on and count to lines until you reach the point
In this case down 2 and right 4
So your slope is negative
And the line crosses the y-axis at 1 so you intercept is 1
-2/4x+1 would be correct but it is not simplified
-1/2x+1 is the correct answer because the equation is simplified