floresallyson15 floresallyson15
  • 17-09-2020
  • Mathematics
contestada

Find the value of x so that the line through the pair of points has the given slope.
Points
(x.2) and (8.17)
Slope
3

Respuesta :

Sueraiuka
Sueraiuka Sueraiuka
  • 17-09-2020

Step-by-step explanation:

Hey there!

The points are (x,2) and (8,17).

The slope given is 3.

Now,

Using slope formula.

[tex]slope = \frac{y2 - y1}{x2 - x1} [/tex]

Put all values.

[tex]3 = \frac{17 - 2}{8 - x} [/tex]

Simplify them to get answer.

[tex]3 = \frac{15}{8 - x} [/tex]

[tex]3(8 - x) = 15[/tex]

[tex]24 - 3x = 15[/tex]

[tex]24 - 15 = 3x[/tex]

[tex]x = \frac{9}{3} [/tex]

Therefore the value of x is 3.

Hope it helps...

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