# If line p = 5x + 3 is parallel to line p = wx + 5 find the value of w

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**If line p = 5x + 3 is parallel to line p = wx + 5 find the value of w**

- A.
**3** **B. 5****C. 6****D. 7**

**QUICK ANSWER…**

**B**

**SOLUTION****… **** **

**For parallel lines, the slope of one is exactly the same to that of the other.**

**The general equation of a straight line is:**

**y = mx + c**

**where m = slope (gradient) of the line, and c = intercept on y axis.**

**Therefore, the slope m of another line which is parallel to the first line is also = m**

**To solve the above question,**

**The slope of the line p = 5x + 3 is 5**

**Therefore, the equation of another line which is parallel to it is p = 5x + c, hence, w = 5.**

**Now for the right answer to the above question:**

**Option A is incorrect.****Option B is correct.****C is incorrect.****D is not the correct answer.**

**KEY-POINTS…**

**You may please note the****se/this****:**

**Two parallel lines share the same slope or gradient.****Perpendicular lines do not share the same slope.****If the slope of a line is m, then the slope of another line which is perpendicular to it = -1/m**

**You are free to add your own answers below this page to assist others improve their learning.**

**You can also click the golden ASK A QUESTION BOTTON down this page to raise new related questions… OUR COMMUNITY OF EXPERTS WILL BE MORE THAN HAPPY TO TACKLE IT…**

**/ culled from 2016 JAMB-UTME mathematics past question 11 /**

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