Question 389496
(-4,1),m=-(13)/(6)

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=(-(13)/(6))*x+b

Substitute the value of x into the equation.
y=(-(13)/(6))*(-4)+b

Substitute the value of y into the equation.
(1)=(-(13)/(6))*(-4)+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.
(-(13)/(6))*(-4)+b=(1)

Multiply (-(13)/(6)) by (-4) to get (-(13)/(6))(-4).
(-(13)/(6))(-4)+b=(1)

Remove the parentheses around the expression 1.
(-(13)/(6))(-4)+b=1

Multiply -(13)/(6) by -4 to get (26)/(3).
((26)/(3))+b=1

Reorder the polynomial (26)/(3)+b alphabetically from left to right, starting with the highest order term.
b+(26)/(3)=1

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=-(13x)/(6)-(23)/(3)