diamontehunter5388 diamontehunter5388
  • 09-11-2020
  • Mathematics
contestada

Find the ​slope-intercept form of the equation of the line that passes through the point P and makes angle with the positive ​x-axis

Respuesta :

codiepienagoya codiepienagoya
  • 11-11-2020

Answer:

The answer is "[tex]y= -x+7[/tex]"

Step-by-step explanation:

If [tex]\bold{\theta = 135^{\circ}}[/tex]

point: [tex]p=(2,5)[/tex]

Formula:

[tex]\to m= \tan \theta \\\\\to (y-y_1)= m(x-x_1)[/tex]

[tex]\to m= \tan \ 135^{\circ} = -1\\\\\to x_1= 2\\\\\to y_1=5[/tex]

Put the value in the above formula:

[tex]\to y- 5 = -1(x-2)\\\\\to y- 5 = -x+2\\\\\to x+y = 5+2\\\\\to x+y=7[/tex]

[tex]\to y= -x+7[/tex]

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