In this topic we will have two points. In any of those two points we will have missing values and we will have slope also. From this we need to find the missing coordinate.

Find a missing coordinate using slope - Examples

Example 1 :

The slope of a line is 3/2 and the line contains the points (5,9) and (3,a). What is the value of a?

Solution :

Slope of the line = 3/2

(x₁, y₁) ==> (5, 9) and (x₂, y₂) ==> (3, a)

m = (a - 9) / (3 -5)

(3/2) = (a - 9) / (-2)

Multiplying by 2 on both sides, we get

3 = a - 9 ==> a = 3 + 9 ==> a = 12

Hence the missing coordinate is 12.

Example 2 :

The slope of a line is -2 and the line contains the points (7 ,4) and (x, 12). What is
the value of x?

Solution :

Slope of the line = -2

(x₁, y₁) ==> (7, 4) and (x₂, y₂) ==> (x, 12)

m = (12 - 4) / (x - 7)

-2 = 8 / (x - 7)

-2 (x - 7) = 8

-2 x + 14 = 8

2 x = 8 - 14

2 x = -6 ==> x = -3

Hence the missing coordinate is -3.

Example 3 :

The slope of a line is 2/t and the line contains the points (-2 ,4) and (-6, 10). What is
the value of t?

Solution :

Slope of the line = 2/t

(x₁, y₁) ==> (-2 ,4) and (x₂, y₂) ==> (-6, 10)

m = (10 - 4) / (-6 + 2)

2 / t = 6 / (-4)

2 / t = 3 / (-2)

-4 = 3 t

t = -4/3

Hence the value of t is -4/3. Find the missing coordinate using slope.

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