Answer:
Step-by-step explanation:
If you want to find the equation of line with a given a slope of which goes through the point (-4,5), you can simply use the point-slope formula to find the equation:
---Point-Slope Formula---
where is the slope, and is the given point
So lets use the Point-Slope Formula to find the equation of the line
Plug in , , and (these values are given)
Distribute
Multiply and to get
Add -1 to both sides to isolate y
Combine like terms and to get the answer
So the equation of the line with a slope of which goes through the point (-4,5) is:
which is now in y=mx = b form where the slope is m=-4/5 and the y-intercept is b=1
y = (2/3)x + 6
because the slope stays the same because it is parallel and to get the y intercept you plug in -3 for x into the equation (2/3)x +? =4 and ?=6 so that gives you the equation y = (2/3)x + 6
Answer:
8 months
Step-by-step explanation:
194-3m = 217-6m
3m = 23
m=7.666666..... (8 months
Cot x = cos x / sin x = 0.85 / 0.52 = 1.6346
Answer:
= 3n + 4
Step-by-step explanation:
there is a common difference between consecutive terms , that is
10 - 7 = 13 - 10 = 16 - 13 = 3
this indicates the sequence is arithmetic with nth term
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
here a₁ = 7 and d = 3 , then
= 7 + 3(n - 1) = 7 + 3n - 3 = 3n + 4