# SOLUTION: Find the slope and the y-intercept of the line 10x=3y+6 Thank you

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 Click here to see ALL problems on Linear-systems Question 389095: Find the slope and the y-intercept of the line 10x=3y+6 Thank youAnswer by haileytucki(390)   (Show Source): You can put this solution on YOUR website!10x=3y+6 Since y is on the right-hand side of the equation, switch the sides so it is on the left-hand side of the equation. 3y+6=10x Since 6 does not contain the variable to solve for, move it to the right-hand side of the equation by subtracting 6 from both sides. 3y=-6+10x Move all terms not containing y to the right-hand side of the equation. 3y=10x-6 Divide each term in the equation by 3. (3y)/(3)=(10x)/(3)-(6)/(3) Simplify the left-hand side of the equation by canceling the common factors. y=(10x)/(3)-(6)/(3) Simplify the right-hand side of the equation by simplifying each term. y=(10x)/(3)-2 To find the slope and y intercept, use the y=mx+b formula where m=slope and b is the y intercept. y=mx+b Using the y=mx+b formula, m=(10)/(3) and b=-2. m=(10)/(3), b=-2