SOLUTION: Write linear equations in slope intercept or standard form given the following information. (-4,1) m=-13/6

Question 389496: Write linear equations in slope intercept or standard form given the following information. (-4,1) m=-13/6
Found 2 solutions by haileytucki, rfer:
Answer by haileytucki(390) (Show Source): You can put this solution on YOUR website!
(-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)
Answer by rfer(16322) (Show Source): You can put this solution on YOUR website!
y=mx+b
1=-13/6*-4+b
1=8 2/3+b
b=-7 2/3 or -23/3
----------------
y=-13/6x-23/3
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