Start off by distributing the numbers into the parentheses:
5(-3x - 2) - (x - 3) = -4(4x + 5) + 13
-15x - 10 - (x - 3) = -16x - 20 + 13
(Note: It's super important to be careful when opening up negative parentheses! -(x-3) is not just - x - 3, it is actually -x + 3 since the negative is distributed in every number!)
-15x - 10 - x + 3 = -16x - 20 + 13
-16x - 7 = -16x - 7
-16x = -16x
0 = 0
There is an infinite number of solutions in this equation.
(When you get 0=0 when solving for a variable, that means that said variable will have infinite solutions, that is, any number plugged into the equation will work)
First we have to find the slope of the givent line and for that we use rise / run method .
The points are (-4,4),(4,-2)
Here rise is

And run is

So slope is

And the slopes of perpendicular lines are negative reciprocal of each other .
Therefore the slope of the required perpendicular line is

Now we use slope intercept form, and put x intercept , that is (6,0) and the slope that is 4/3 ,

Therefore required equation is

Correct option is the third option .
Answer:
See Bottom!
Step-by-step explanation:
This may seem bad, but the answer should be 2191919/1000000
If you require more assistance, please let me know at the bottom.
Answer:
m=2/3, b=12
Step-by-step explanation:
When you see an equation in this format, it's called slope-intercept form (y=mx+b, with m being slope and b being y-intercept). So in this case, by looking at our formula, we can tell right away that our slope, or m, is 2/3 and our y-intercept, or b, is 12. HTH :)