The equation that runs through the location (4,-6) has the slope-intercept form, 
.
<h2>Formation of the equation</h2>
A line's equation written in the slope-intercept form:
y=mx+b
where m= slope & b= y-intercept
The slope of two parallel lines is equal.
Currently, we know the line's equation:
here, slope, m= 
A line equation is created by adding the slope's value and the point's coordinates (4, -6):
⇒ -6=-3 +b [adding 3 to both sides]
⇒-3=b
⇒b= -3
Hence the solution is .
Learn more about slope-intercept form here:
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Answer:
The total number of students is 36.
Step-by-step explanation:
You would get this answer because twice the square root of 6. 6x6 is 36. Hope this helps :)
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If we have 2 coordinates say: (x1,y1) and (x2,y2)
Then the formula for the midpoint is:
((x1+x2)/2,(y1+y2)/2)
And the formula for the distance is:
Sqrt((x2-x1)^2+(y2-y1)^2)
So here we have (-1,-4) and (-7,4)
The midpoint is:
((-1+-7)/2,(-4+4)/2) = (-8/2,0/2) = (-4,0)
The distance is:
Sqrt((-7- -1)^2+(4- -4)^2)
= sqrt((-6^2)+(8^2))
=sqrt(36+64)
=sqrt(100)
=10
Answer:
<u>Given expression:</u>
<u>The first root is valid when:</u>
- 2x + 2 ≥ 0 ⇒ 2x ≥ - 2 ⇒ x ≥ - 1
<u>The second root is valid when:</u>
- 6 - 4x ≥ 0 ⇒ 4x ≤ 6 ⇒ x ≤ 1.5
<u>So the variable x can get values within interval:</u>
- -1 ≤ x ≤ 1.5 or
- x = [-1, 1.5]
