Answer:
y = -5x/4 - 8
Step-by-step explanation:
Two lines that are perpendicular have slopes that are opposite reciprocals.
Since the slope of the given line is 4/5, the opposite reciprocal of that is -5/4. So the equation has a slope of -5/4.
Since we know the coordinate of a point of the other equation, we can plug that into the point-slope form equation y - y1 = m(x - x1):
y - 2 = -5/4(x-(-8))
Simplify:
y - 2 = -5/4(x+8)
y - 2 = -5x/4 - 10
So the equation in slope-intercept form is:
y = -5x/4 - 8
14 trout out of 50 total fish. The total amount of fish in the lake is 7500. Let’s make this into a proportion.
14/50=x/7500
x represents how much trout is in the lake, we don’t know yet, but we’ll find out.
First, cross multiply.
14*7500=105000
50*x=50x
Now let’s turn this into an equation.
50x=105000
Divide both sides by 50
50x/50=x
105000/50=2100
x=2100
Out of the 7500 fish in the lake, 2100 were trouts.
M / -4 = -2.95
As you can see, the variable m is currently in a fraction with a denominator of -4. So to get ride of the fraction and find m and its value, you should multiply both sides by the denominator of the fraction, which is in our case -4.
So m / -4 = -2.95
(m/-4) * -4 = -2.95 * -4
m = 11.8
You can recheck your answer (very important):
m / -4 = 11.8 / -4 = -2.95
The answer has been approved.
Hope this Helps! :)
Answer:
Step-by-step explanation:
