Answer:
y = 3/2x -14
Step-by-step explanation:
do the inverse of -2/3 what is 3/2
and now sole the equation of y+8 = 3/2(x-4)
distribute 3/2 ---> y+8 = 3/2x - 8
subtract 8 from both sided getting you y=3/2x-14
Answer:

Step-by-step explanation:
We need to find the equation of the line perpendicular to the line 3x+2y=8 and passes through (-5,2).
The given line can be expressed as:

We can see the slope of this line is m1=-3/2.
The slopes of two perpendicular lines, say m1 and m2, meet the condition:

Solving for m2:



Now we know the slope of the new line, we use the slope-point form of the line:

Where m is the slope and (h,k) is the point. Using the provided point (-5,2):

Answer:
c.
Step-by-step explanation:
-x+3y+3=0 <-- This puts the expression into an equation to make it solvable.
3y+3=x <-- Use Addition Property of Exponents to move the (x) to the right
3y=x-3 <-- Use Subtraction Property of Exponents to move the (3) to the right
y=

-1 <-- Use Division Property of Exponents to remove the 3 from y
y=

-1 < This is the equation for the y-intercept
-x+3y+3=0 <-- Same as above, makes it so the expression is an equation to solve
-x+3=-3y <-- Use Subtraction Property of Exponents to move the 3y to the right
-x=-3y-3 <-- Use Subtraction Property of Exponents to move the 3 to the right
x=3y+3 <--Use Divison Property of Exponents to remove the -1 from x
x=3y+3 <-- This is the equation for the x-intercept
Hope this helped!
F(x) = -1.50x + 40.....basically, this is saying that Gloria has 40 bucks in her lunch account and each meal costs her 1.50.
By changing the -1.50 to -2.75 means she is paying more for her meals...the cost of a meal went up from 1.50 to 2.75.