Question 78564: How do I write the equation of the line with given slope and y-intercept. Then graph each line using the slope and y-intercept?
Slope: -2; y-intercept: (0, 4)
Answer by nihon64(5)   (Show Source):
You can put this solution on YOUR website! (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)
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