SOLUTION: write in slope-intercept form the equation of the line that passes through the given point and has the given slope (2,6), m=2

Question 391290: write in slope-intercept form the equation of the line that passes through the given point and has the given slope (2,6), m=2
Answer by haileytucki(390) (Show Source): You can put this solution on YOUR website!
(2,6),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)*(2)+b
Substitute the value of y into the equation.
(6)=(2)*(2)+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)*(2)+b=(6)
Multiply (2) by (2) to get (2)(2).
(2)(2)+b=(6)
Remove the parentheses around the expression 6.
(2)(2)+b=6
Multiply 2 by 2 to get 4.
(4)+b=6
Reorder the polynomial 4+b alphabetically from left to right, starting with the highest order term.
b+4=6
Find the value of b.
b=2
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+2
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