SOLUTION: The following are from the Compass sample test. Algebra Placement Linear equations 15.What is the slope of the line with the equation 2x+3y+6=0 Please explain how to get to

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 Question 101398: The following are from the Compass sample test. Algebra Placement Linear equations 15.What is the slope of the line with the equation 2x+3y+6=0 Please explain how to get to the answer of -2/3 16. Point A (-4,1) is in the standard (x,y) coordinate plane. What must be the coordinates of point B so that the line x=2 is the perpendicular bisector of AB? Please explain how to get to the answer of (8,1) Answer by doukungfoo(195)   (Show Source): You can put this solution on YOUR website!15.What is the slope of the line with the equation 2x+3y+6=0 To find the slope we need to convert this equation to the slope intercept form which is: y=mx+b m is the slope and b is y intercept. 2x + 3y + 6 = 0 first move 2x to the right side of the equation This is done by subtracting 2x from both sides 2x - 2x + 3y + 6 = 0-2x on the left side 2x-2x cancel out and on the right side 0-2x leaves -2x so we get this 3y + 6 = -2x next move 6 following the same procedure 3y + 6 - 6 = -2x - 6 3y = -2x - 6 finally isolate y by dividing by 3 across the equation Now that we have convert the equation to slope intercept form we can identify the slope, which is: ----------------------------------------------------------------- 16. Point A (-4,1) is in the standard (x,y) coordinate plane. What must be the coordinates of point B so that the line x=2 is the perpendicular bisector of AB? For this one I would just plot the information given on a graph. First plot point A at (-4,1) Then draw the line x=2 which is a vertical line that crosses the x axis at 2. Once we have done this we can see that point A is 6 units away from the the line x=2 so point B must be 6 units away on the x axis for line x=2 to be a bisector of line segement AB. Also point B must have the same x intercept as point A for line segment AB to be perpendicular to line x=2. The only point on the graph that meets these requirements is (8,1)