1 Answers

# If given two points A(3, 12) and B(5, 22) on a x-y plane, find…

Latest posts by Admin (see all)

**If given two points A(3, 12) and B(5, 22) on a x-y plane, find the equation of the straight line.**

- A.
**y = 5x + 2** - B.
**y = 5x + 3** - C.
**y = 5x – 3** - D.
**y = 22x + 322**

**QUICK ANSWER…**

**C**

**DETAILS… **

**If two points on a straight line is given as (x₁ y₁), (x₂ y₂), then we will use the following equation to find the equation of the straight line**

**Cross multiplying, we have:**

**2(y – 12) = 10(x – 3)**

**2y – 24 = 10x – 30**

**Rearranging, we have:**

**2y = 10x – 30 + 24**

**2y = 10x – 6**

**Dividing through by 2, we have:**

**y = 5x – 3**

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

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

**KEY-POINTS…**

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

**You can also get this equation by using another formula which states: y = mx + c.****Using the two given points to find the gradient(m), substituting it into y = mx + c, and using any of the two points to calculate c (the intercept on y axis).****If you love our answers, you can login to comment and say hi to us at the comment section…**

**To raise new related question****s, c****lick the ASK A QUESTION BOTTON down this page…**

**/**** ****culled from ****201****9**** JAMB-UTME ****mathematics ****question**** 21 ****/**