If given two points A(3, 12) and B(5, 22) on a x-y plane, find…
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
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.
You may please note these/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).
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/ culled from 2019 JAMB-UTME mathematics question 21 /