SOLUTION: Find an equation in standard form of the line with the same x-int as the line whose equation is y=-3/4x+3 and parallel to the line whose equation is x-2y-3=0.

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Question 639960: Find an equation in standard form of the line with the same x-int as the line whose equation is y=-3/4x+3 and parallel to the line whose equation is x-2y-3=0.
Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!


Step 1: Find the -intercept of . Substitute the value for and solve the resulting equation for . Form the ordered pair where is the solution you just calculated.

Step 2: Find the slope of . Since both variables are on the same side of the equals sign, use the following short-cut method: Divide the opposite of the coefficient on by the coefficent on .

Step 3: Use the point-slope form:



where are the coordinates of the point calculated in step 1 and is the slope calculated in step 2.

Step 4: Arrange the result of step 3 into Standard Form, namely . If any of your coefficients are other than integers, verify that your teacher/instructor/professor's definition of Standard Form allows coefficients that are not integers. Otherwise, use an appropriate multiplier to convert to integer coefficients.

John

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