brokeboy0g2006 brokeboy0g2006
  • 14-05-2020
  • Mathematics
contestada

If (x,4) and (5,6) represents two points on a line, what must the value of x be in order to have a slope of 1

Respuesta :

codiepienagoya codiepienagoya
  • 19-05-2020

Answer:

The value of x is "3"

Step-by-step explanation:

Given value:

points: (x, 4) (5,6)

slope = 1

Formula of slope  [tex]\bold{m= \frac{y_2-y_1}{x_2-x_1}} \\\\[/tex]

Solution:

after compare the from: [tex](x_1, y_1) \ and \ (x_2, y_2)\\\\[/tex]

[tex]x_1= x\\y_1= 4\\x_2=5\\y_2= 6\\\\m =\frac{y_2-y_1}{x_2-x_1}\\\\\Rightarrow 1= \frac{6-4}{5-x}\\\\\Rightarrow 5-x=6-4\\\\\Rightarrow 5-x=2\\\\\Rightarrow 5-2=x\\\\\Rightarrow x=3[/tex]

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