Answer:
point-slope form: y - 1 = -4/5(x - 8)
slope-intercept form: y = -4/5x + 7.4
Step-by-step explanation:
Find slope using the points (8, 1) and (-2, 9):
m = (y₂ - y₁) / (x₂ - x₁)
= (9 - 1) / (-2 - 8)
= 8 / -10
m = -4/5
Find y-intercept using slope m from above and anyone of the given points, let's use (8, 1):
y = mx + b
1 = -4/5(8) + b
1 = -6.4 + b
b = 7.4
Use slope m and y-intercept b above to form equation of line in slope-intercept form:
y = mx + b
y = -4/5x + 7.4
For point slope form use slope m from above and a point, again let's use (8, 1):
y - y₁ = m(x - x₁)
y - 1 = -4/5(x - 8)
Answer:
(-3, 5) satisfies both the equation 6x + 5y = 7 and the equation x + 4y = 17.
We actually don't need to do any computation. By definition, the inverse function
changes the role of input and output. So, if a function f maps x onto y, the inverse function maps y onto x.
You have to think like this: if the function makes a step further, the inverse function makes that same step back.
This means that the composition
is always the identity function
. In fact,

So, for every function, you have

Step-by-step explanation:
the numbers of the yellow and white counters
= 288- 38 = 250.
the ratio of yellow to white = 1:4
so,
the numbers of the yellow counters =
1/(1+4) × 250 =1/5 ×250 = 50
the numbers of the white counters =
4/(1+4) ×250 = 4/5 ×250 = 200
and the numbers of the red counters = 38