Answer:
-6
Step-by-step explanation:
We know that since Ax + By = 3 passes through (-7, 2), then if we plug -7 in for x and 2 in for y, the equation is satisfied. So, let's do that:
Ax + By = 3
A * (-7) + B * 2 = 3
-7A + 2B = 3
We also know that this line is parallel to x + 3y = -5, which means their slopes are the same. Let's solve for y in the second equation:
x + 3y = -5
3y = -x - 5
y = (-1/3)x - (5/3)
So, the slope of this line is -1/3, which means the slope of Ax + By = 3 is also -1/3. Let's solve for y in the first equation:
Ax + By = 3
By = -Ax + 3
y = (-A/B)x + 3/B
This means that -A/B = -1/3. So, we have a relationship between A and B:
-A/B = -1/3
A/B = 1/3
B = 3A
Plug 3A in for B into the equation we had where -7A + 2B = 3:
-7A + 2B = 3
-7A + 2 * 3A = 3
-7A + 6A = 3
-A = 3
A = -3
Use this to solve for B:
B = 3A
B = 3 * (-3) = -9
So, B = -9 and A = -3. Then B - A is:
B - A = -9 - (-3) = -9 + 3 = -6
The answer is -6.
<em>~ an aesthetics lover</em>
939|092
These are just to fill space>__________________________________________
Answer:c
Step-by-step explanation:
c ccccccccccccc
Answer:
See Below (it is correct)
Step-by-step explanation:
First point given ---- A(-3,0)
2nd point given ----- B(4,0)
The slope is the "change in quantity y" divided by "change in quantity x"
The change would be from 2nd point to 1st point. So,
Change in quantity y is 0 - 0 = 0
Change in quantity x is 4 - (-3) = 4 + 3 = 7
So, slope would be:
Slope = 0/7 = 0
The slope is 0 (which means it is a horizontal line)
