You have to write the equation for a line that crosses the point (-4, -7) and is perpendicular to the line

When you have to determine a line that is perpendicular to a known line, you have to keep in mind that the slope of the perpendicular line will be the negative inverse of the first one.
If for exampla you have two lines, the first one being:

And the second one, that is perpedicular to the one above:

The slope of the second one is the negative inverse of the first one:

The slope of the given line y=-7/4+4 is m=-7/4
So the slope of the perpendicular line has to ve the inverse negative of -7/4

Considering it has to pass through the point (-4,-7) and that we already determined its slope, you can unse the point slope formula to determine the equation of the perpendicular line:

replace with the coordinates of the point and the slope and calculate:

Subtract 7 to both sides of the equation to write it in slope-intercept form:

Now you can graph both lines
Writing the slope-intercept form of a linear equation, we have:

Where m is the slope and b is the y-intercept.
Since parallel lines have the same slope, we can see that the slope of the line y = 2/3x + 1 is equal m = 2/3, so for our equation we also have m = 2/3.
Now, using the point (0, -4), we have:

So our equation is:

y = 2/3x - 4
Answer:
y = 8x +2 that's the correct answer
Area is 118in^2 Hope this helps
[~Answer~] (3.):
Hello there! I'm Avery, and I'm here to help you! I mostly believe the answer <em>Could be: (the answer is in the screenshot. I couldn't write it, so I typed it.) </em>
<em>
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[~Answer Explanation~]:
1:
Combine multiplied terms into a single fraction
2:
Find common denominator
3:
Combine fractions with common denominator
4:
Multiply the numbers
5:
Re-order terms so constants are on the left
6:
Combine exponents
7:
Rearrange terms
8:
Find common denominator
9:
Combine fractions with common denominator
10:
Re-order terms so constants are on the left
11:
Rearrange terms
12:
Multiply all terms by the same value to eliminate fraction denominators
13:
Cancel multiplied terms that are in the denominator
14:
Distribute
15:
Move terms to the left side
16:
Distribute
17:
Subtract the numbers
18:
Rearrange terms
19:
Use the quadratic formula
20:
Simplify
21:
Separate the equations
22:
Solve
Answer: z = 
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[~Last Messages~]:
Okay, I really hope my answer is correct.
I am truly sorry if it's wrong :(
Have a great morning, afternoon, or night. <333
<u><em>[-!AveryIsSomeHowAlive!-}</em></u>