Question 78564
(0,4)_m=-2

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=(-2)*x+b

Substitute the value of x into the equation.
y=(-2)*(0)+b

Substitute the value of y into the equation.
(4)=(-2)*(0)+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.
(-2)*(0)+b=(4)

Multiply (-2) by (0) to get (-2)(0).
(-2)(0)+b=(4)

Remove the parenthesis around the expression 4.
(-2)(0)+b=4

Multiply -2 by 0 to get 0.
(0)+b=4

Remove the 0 from the polynomial; adding or subtracting 0 does not change the value of the expression.
b=4

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=-2x+4   
(0,4)(1,2)