Answer:
y=x-4
Step-by-step explanation:
The slope is given by
m = (y2-y1)/(x2-x1)
m = (1--9)/(5--5)
m = (1+9)/(5+5)
= 10/10
= 1
The slope is 1
We have the slope and a point,so we can use point slope form
y-y1 = m(x-x1)
y-1 = 1(x-5)
y-1 = x-5
Add 1 to each side
y-1+1 = x-5+1
y=x-4
This is slope intercept form (y= mx+b)
Answer:
the equation would be 8(m+7)=21
The fraction is 36/42.
36 + 42 = 78
36/42 = 6/7
Answer:
we have (a,b,c)=(4,-2,0) and R=4 (radius)
Step-by-step explanation:
since
x²+y²+z²−8x+4y=−4
we have to complete the squares to finish with a equation of the form
(x-a)²+(y-b)²+(z-c)²=R²
that is the equation of a sphere of radius R and centre in (a,b,c)
thus
x²+y²+z²−8x+4y=−4
x²+y²+z²−8x+4y +4 = 0
x²+y²+z²−8x+4y +4 +16-16 =0
(x²−8x + 16) + (y² + 4y + 4 ) + (z²) -16 = 0
(x-4)² + (y+2)² + z² = 16
(x-4)² + (y-(-2))² + (z-0)² = 4²
thus we have a=4 , b= -2 , c= 0 and R=4