Standard to Slope Intercept Form.
8x + 10y = 70
Please answer!

y=-4/5x+7

Subtract 8x from both sides of the equation.

10=70y −8x

Divide each term by 10 and simplify

cancel the comman factor to Cancel the common factor.

which is 10

Divide y by 1

Simplify  

    70     -8x

y= --- +

    10        10

write in y=mx+b form

so it y=-4/5x+7

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below: