Answer:
Step-by-step explanation:
1) First, find the slope of the equation. Use the slope formula
. Substitute the x and y values of the given points into the formula and solve:

Thus, the slope is
.
2) Now, use the point-slope formula
to write the equation in point-slope form (from there we can convert it to slope-intercept). Substitute values for
,
, and
.
Since
represents the slope, substitute
for it. Since
and
represent the x and y values of one point the line intersects, choose any of the given points (it doesn't matter which one, the end result will be the same) and substitute its x and y values into the formula as well. (I chose (4,1), as seen below.) Then, isolate y to put the equation in slope-intercept form and find the answer.

Answer:

Step-by-step explanation:
1. Subtract 8x from both sides:
8x-6y-8x=36-8x
2. Simplify:
-6y=36-8x
3. Divide both sides by -6

4. Simplify to get answer
Answer:
#7 is x = 51
#8 is x = 9
Step-by-step explanation:
#7 walk-through
35 + 2x + 16 + 4x + 3 = 360
35 + 16 + 3 + 2x + 4x = 360
54 + 6x = 360
6x = 306
x = 51
#8 walk-through
6x + 2 = 56
6x = 54
x = 9
Answer:
13
Step-by-step explanation:
Firstly we would start off by simplifying the equation by doing the order of operations backward (PEMDAS -> SADMEP) and multiply -4 and -3 which would equal a positive 12
Next, we would divide 12 and -6 and get a negative 2
Finally, we would have the equation 1 - 12 + (-2)
We would solve the equation to get -13/(-1)³
This would make the -13 into a positive since any number over one is a whole number. -13 is getting divided by (-1) 3 times so it converts to a positive, then a negative, then back to a positive.
I hope this helped :3