This is going to be an long answer, so I'm putting the answer first. y=3x-7
First, you have to find the equation of the line given. You can use point slope form for that. You can see that the slope is -1/3, and it goes through (2,2). So, the equation would be
y-2=-1/3(x-2)
Which simplifies to
y=-1/3x+8/3
Now, we can get on to finding the actual answer. The slope of a line perpendicular would be the negative reciprocal of the original slope. That just means you flip it and multiply it by -1. So, the slope of the new line is 3. Now you can use point slope form again and make an equation, which is
y+1=3(x-2)
Which simplifies to
y=3x-7
Please don't ask me why the slope is the negative reciprocal, or how they came up with the formula for the point slope form. I DON'T KNOW. If you want to know so bad you would give up chick-fil-A for the rest of your life, there's always google.
1/32 ; 1/8 ; 1/2 ; 2 ; 8 ; ....
An = 2^2n-7
Pls. see attachment for the graph.
Answer:
21x - 14y - 63
Step-by-step explanation:
Here you go :D
9514 1404 393
Answer:
see below
Step-by-step explanation:
Starting from the point-slope equation ...
y -y1 = m(x -x1)
Solving for y gives ...
y = mx +(y1 -m·x1)
So, the slope-intercept form equation is fairly easily found:
y = mx +b . . . . where m = m, and b = y1-m·x1
This is the equation we have used for 'b' in the attached spreadsheet.
__
Of course, the formula for slope is ...
m = (y2 -y1)/(x2 -x1)
This is the equation we have used for 'm' in the attached spreadsheet. For all problems, we have used the first point. (It doesn't matter which point you use if there are two of them.)
__
The second attachment is the Google Sheets spreadsheet saved in ODS format. Most spreadsheet programs should be able to open that so you can see the formulas, if you're interested. (The gray values of m are computed using the two points. The unshaded values of m are entered by hand.)
_____
I'll write a couple of equations in each group so you can see how the spreadsheet numbers relate:
y = mx +b
1. y = 2x -7
3. y = 2/3x +4
8. y = 1/3x -5
9. y = -5/2x +4
Answer:
False
Step-by-step explanation: