Respuesta :

texaschic101
y = 3x + 4....slope here is 3. A parallel line will have the same slope.

slope = (d - 4) / (5 - (-2) = (d - 4) / (5 + 2) = (d - 4) / 7....so d is going to have to be 25.

lets check....the slope has to equal 3 to be a parallel line
(-2,4)(5,25)
slope = (25 - 4) / (5 - (-2) = 21/(5 + 2) = 21/7 = 3 (correct)

so d = 25


Cricetus

The value of "d" will be "25".

Given:

Points,

  • [tex](x_1,y_1) = (-2, 4)[/tex]
  • [tex](x_2, y_2) = (5,d)[/tex]

Equation,

  • [tex]y = 3x+4[/tex]

then,

Slope,

  • [tex]m = 3[/tex]

As we know,

→ [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]

By substituting the values, we get

→  [tex]3= \frac{d-4}{5-(2)}[/tex]

→  [tex]3 = \frac{d-4}{5+2}[/tex]

→  [tex]3 = \frac{d-4}{7}[/tex]    

By applying cross multiplication, we get

→ [tex]21 = d-4[/tex]

→   [tex]d = 21+4[/tex]

→      [tex]= 25[/tex]

Thus the above value of "d" is correct.

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https://brainly.com/question/24068965

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