Question 391291
((1)/(3),-5),m=8

Find the value of b using the formula for the equation of a line.
y=mx+b

Substitute the value of m into the equation.
y=(8)*x+b

Substitute the value of x into the equation.
y=(8)*((1)/(3))+b

Substitute the value of y into the equation.
(-5)=(8)*((1)/(3))+b

Since b is on the right-hand side of the equation, switch the sides so it is on the left-hand side of the equation.
(8)*((1)/(3))+b=(-5)

Multiply (8) by ((1)/(3)) to get (8)((1)/(3)).
(8)((1)/(3))+b=(-5)

Remove the parentheses around the expression -5.
(8)((1)/(3))+b=-5

Multiply 8 by (1)/(3) to get (8)/(3).
((8)/(3))+b=-5

Reorder the polynomial (8)/(3)+b alphabetically from left to right, starting with the highest order term.
b+(8)/(3)=-5

Find the value of b.
b=-(23)/(3)

Now that the values of m(slope) and b(y-intercept) are known, substitute them into y=mx+b to find the equation of the line.
y=8x-(23)/(3)