Point W represents the y-intercept
Answer:
y=3x-10
Step-by-step explanation:
For this, you would use the point slope formula, which is (y-y1)=m(x-x1). x1 and y1 are the coordinates from the ordered pair.
(y-y1)=m(x-x1)
(y-2)=3(x-4)
y-2=3x-12
y=3x-10
To check, you can plug the coordinates into the equation.
y=3x-10
(2)=3(4)-10
2=12-10
2=2
the formula for volume of sphere is 4/3||r^3
diameter=2radius
in the formula we need to have radius but we have been given diameter so we convert diameter to radius
d=2r
r=d/2
9.5÷2
4.75
See the attachment below.
Hope it helps!
Answer:
y = -3/2 x +13
Step-by-step explanation:
We want our line to be perpendicular to
y = 2/3 x -1
The slope of this line is 2/3 (since it is written in the form y = mx+b and m is the slope)
Perpendicular lines have negative reciprocal slopes
m = -(3/2)
The slope of our new line is -3/2
We can use point slope form of the equation
y-y1 - m (x-x1)
y - 7 = -3/2 (x-4)
Distribute
y-7 = -3/2x +6
Add 7 to each side
y-7+7 = -3/2 x +6+7
y = -3/2 x +13