Answer:
x is 11
Step-by-step explanation:
We know the slope (3/4) and a point (3,-4), so we can use point-slope form (y-y1=m(x-x1)
Substitute the numbers into the equation
y--4=3/4(x-3)
simplify
y+4=3/4(x-3)
do the distributive property
y+4=3/4x-9/4
subtract 4 from both sides
y=3/4x-25/4
this is the equation of the line.
Since it says that (x,2) is a point in the equation, we can substitute it into the equation
2=3/4x-25/4
add 25/4 to both sides
33/4=3/4x
multiply by 4/3
11=x
we can double check by plugging (11,2) into the equation of the line.
2=3/4(11)-25/4
2=33/4-25/4
2=2
it works! :)
Hope this helps!
Answer:
y=3x+6
Step-by-step explanation: 3=3(-1)+b
3=-3+b
+3 +3
6=b
Answer:
y = - 8 x + 2
Step-by-step explanation:
Use any two pairs to find the slope with
slope = (y2-y1)/(x2-x1)
for example: (0, 2), and (1, -6)
slope = (- 6 - 2) / (1 - 0) = - 8
so the equation should look like:
y = -8 x + b
use point (0, 2) to find b:
2 = - 8 (0) + b
b = 2
Then
y = - 8 x + 2
Answer:
Step-by-step explanation:
The given sequence is
-12,-16,-20...
The first term of this sequence is 
.
The common difference is
The nth term of this arithmetic sequence is;
We substitute the values for the first term and the common difference to obtain;
