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Consider the line that passes through the point P(-1,-1) and is parallel to the line x-y=7. Write the point slope equation of the line. Use exact values.​

Respuesta :

Answer: y=x

Step-by-step explanation:

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

The line that parallel to the line x-y=7 is:

[tex]y=x+b[/tex]

The line that passes through the point P(-1,-1), hence:

[tex]-1=-1+b\\-1+1=-1+b+1\\0=b\\Thus,\\y=x+0\\y=x[/tex]

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