SOLUTION: The following is a word problem given by my teacher: Write an equation for the line in point/slope form and slope/intercept form that passes through (1,4) and parallel to the li

Question 87367: The following is a word problem given by my teacher:
Write an equation for the line in point/slope form and slope/intercept form that passes through (1,4) and parallel to the line 2x-3y=6.
Answer by rossiv53(27) (Show Source): You can put this solution on YOUR website!
First solve the equation 2x-3y=6 for y to find its slope.
2x-3y=6
2x-3y-2x=6-2x
-3y=-2x+6
y=2/3x-2 slope is 2/3
Remember that parallel lines have the same slope.
Point slope form is y-y1=m(x-x1)
substitute 1 for x1, 4 for y1 and 2/3 for m.
So, answer is y-4=2/3(x-1) in point slope or solve for y to put in slope/intercept form. y=2/3x+10/3
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