Step-by-step explanation:
8x+3y=18
subject y according y=mx+c
y=8/3x-6
(-9,-13)
substitute -9 to y=8/3x-6
-13=8/3×(-9)+c
11=c
y=8/3x+11
- Slope-Intercept Form: y = mx+b, with m = slope and b = y-intercept
So perpendicular lines have <u>slopes that are negative reciprocals</u> to each other, but firstly we need to find the slope of the original equation. The easiest method to find it is to convert this standard form into slope-intercept.
Firstly, subtract 3x on both sides of the equation: 
Next, divide both sides by -4 and your slope-intercept form of the original equation is 
Now looking at this equation, we see that the slope is 3/4. Now since our new line is perpendicular, this means that <em>its slope is -4/3.</em>
Now that we have the slope, plug that into the m variable and plug in (-4,-5) into the x and y coordinates to solve for the b variable as such:

<u>In short, your new equation is y = -4/3x - 10 1/3.</u>
The distance between the 2 locations = 7 units
Step-by-step explanation:
Step 1:
Given,
Location of Hot dogs = (6,4)
Location of Mustard = (6,-3)
We need to find the distance between the two locations
Step 2:
Since the x coordinates of both the location are the same , they lie in the same line.
The first location is 4 units above the x axis and the second location is 3 units below the x axis.
Hence the distance between the 2 locations 4-(-3) = 7 units
Step 3 :
Answer :
The distance between the 2 locations = 7 units
The high quality coffee bean and cheaper coffee bean should blend at 14.3lbs
Answer:
I think it’s C
I hope this helps you!!!!!