Question

What is the value of a so the line that passes through the points ( a, 15 ), ( -5a-12 , 4) has an undefined slope?

Answer 1

Answer:

(

a

,

15

)

=

(

−

5

a

−

12

,

4

)

=

Step-by-step explanation:

Answer 2

a  =  -5.4

The slope of a line passing through the points (x₁, y₁) and (x₂, y₂) is given as:

$Slope = \frac{y_2-y_1}{x_2-x_1}$

For the line passing through points ( a, 15 ), ( -5a-12 , 4)

x₁ = a, y₁ = 15, x₂ = -5a-12, y₂ = 4

Substitute these points into the slope formula above:

$Slope = \frac{4-15}{(-5a-12)-15} \\Slope = \frac{-11}{-5a-27}$

For the slope to be undefined, the denominator must be zero.

That is:

-5a  -  27   =  0

-5a  =  27

a  =  -27/5

a  =  -5.4

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