Graph a line goes through the point (6,–2) and has a slope of –3. what is the value of a if the point (a,7) lies on the line?

The value of a is 3

Step-by-step explanation:

First you have to make an equation based on the point and slope that you were given. The formula for this is y-(y cordinate of point)=slope(x-x cordinate of slope)

y--2=-3(x-6), which simplifies to y+2=-3(x-6)

In (a,7), 7 is the y coordinate. We have to plug 7 in for the y in our equation.

7+2=-3(x-6),

Combine like terms on the left side to get to 9=-3(x-6)

Multiply out on the left to get 9=-3x+18

Subtract 18 from the left side to get -9=-3x

Divide both sides by negative 3 to get 3=x (remember x is a)

problem:

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

f(5/2) = 10/3

i hope this !

18.75 gallons

step-by-step explanation: