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Write in point-slope form the equation of the line that is parallel to the given line and passes through the given point.Your final answer should be in slope-intercept form.1. y= x+ 5, (-1, -1)

Respuesta :

kudzordzifrancis

Answer:

[tex]y = x[/tex]

Step-by-step explanation:

The given equation is

[tex]y = x + 5[/tex]

The slope of this line

[tex]m = 1[/tex]

Since all parallel lines have the same slope, the slope of our line is also m=1.

We now use the point-slope formula

[tex]y-y_1=m(x-x_1)[/tex]

Since the line passes through (-1,-1)

We gave

[tex]x_1=-1,y_1=-1[/tex]

We substitute the slope and point to get

[tex]y - - 1 = 1(x - - 1)[/tex]

[tex]y + 1 = x + 1[/tex]

[tex]y = x[/tex]

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