Use the points (1, 15000) and (8, 1000) for the slope of the trendline
m = (1000 - 15000)/(8 - 1) = (-14000)/7 = -2000
y = -2000x + b
15000 = -2000(1) + b
15000 = -2000 + b
17000 = b
Equation
y = -2000x + 17000
Hello there! :)
We are given that the line passes through the point (4,5) and that it's perpendicular to the line y=2x-3.
Perpendicular lines have slopes that are opposite reciprocals.
This means we take a number, make it negative, and flop it over:
2
-2
-1/2
So the slope of the line perpendicular to y=2x-3 is -1/2.
Now, we have the slope and a point that the line passes through, so we can write the equation in point-slope form, which looks like so:
y-y1=m(x-x1)
Where
y1 is the y-coordinate of the point
m is the slope
x1 is the x-coordinate of the point
Now, let's plug our values into the equation:
y-y1=m(x-x1)
y-5=-1/2(x-4)
y-5=-1/2x+2
y=-1/2x+2+5
y=-1/2x+7
Hence, that is the equation of the line.
Hope it helps.
~A lonely teen who helps others with a smile
-Grace :-)
Good luck.
B if I’m not mistaken, I’m sorry if I’m incorrect I struggle with algebra.
Answer:
The slope is 5/3
Step-by-step explanation:
(12,0)
(0,-20)
Changes in y is -20-0=-20
Changes in x is 0-12=-12
Rise(y) over run(x) = -20/-12
-5/-3
5/3
Width of the rectangle is 2 units
Step-by-step explanation:
- Step 1: Let the width of the rectangle be x. Then the length = 8 +
. Find dimensions of the rectangle if its area = 18 sq. units
Area of the rectangle = length × width
18 = x (8 +
)
36 = x(16 + x) (Cross multiplying 2)
36 = 16x + x²
x² + 16x - 36 = 0
x² + 18x - 2x - 36 = 0 (Using Product Sum rule to factorize)
x(x + 18) - 2(x + 18) = 0
(x + 18)(x - 2) = 0
x = -18, 2 (negative value is neglected)
x = 2 units