Jack buys 4 / 3 pounds of
plums. martin buys 6 / 3 pounds of apples. who buys more fruit


since you have variables on both sides, you have to subtract the smallest varable from both sides that HAVE the variable. so 3m-8=5m+8

3m-8=5m+8

-3m   -3m

-8=2m+8

isolate the variable by subtracting 8 from both sides

-16=2m

isolate the variable again by dividing both sides by 2

so -8=m

now you have to put -8 into the equation

(checking)

3(-8)-8=5(-8)+8

-24-8=-40+8

-32=-32

Answer:

B

Step-by-step explanation:

The notation ⊥ means the 2 lines are perpendicular, which by definition means they intersect at a 90 degree angle.

Equation of any line is given by y-mx+b where m is the slope and b is the y intercept.

Two points are given to us .Let us first find the slope

Slope of the points (4,15) and (2,25) is the difference of y divided by difference of x coordinate

m=

Slope m= -5 and any (x,y)=(4,15)

We put these values in y=mx+b to find b (Any of the two given points can be taken as (x,y)

15=-5(4)+b

15=-20+b

Adding 20 both sides

15+20=-20+20+b

35=b

Or b=35.

Slope formula: y1-y2/x1-x2=m, given that x and y are coordinates and m is the slope. You have two sets of coordinates in your question, so I will first use those to find the slope of the equation:

15-25/4-2=m

This reduces to -10/2, or -5.

Slope intercept form: y=mx+b, given m is the slope and b is the y-intercept. Plug the slope in now.

y=-5x+b

Now, use one of the coordinates in the question to solve for b. I'm using (4,15).

15=-5(4)+b

15=-20+b

Add 20 to both sides.

35=b

Your equation is: y=-5x+35

and b=35

I hope this helps :)