Write an equation of the line that passes through the given point and is parallel to the given line.

use this equation:

(-5, -2); y= 2/3x + 1

Answer : Equation of line is y=Equation of line is y=x+

Step-by-step explanation:

Theory :

Equation of line is given as y = mx + c.

Where, m is slope and c is y intercepted.

Slope of given line : y = x+1 is m=

We know that line : y = x+1 is parallel to equation of target line.

therefore, slope of target line will be .

we write equation of target line as y= x+c

Now, It is given that target line passes through point ( -5,-2)

hence, point ( -5,-2) satisfy the target line's equation.

we get,

y= x+c

-2= -5+ c

-5= +c

c=

thus, Equation of line is y=Equation of line is y=x+

step-by-step explanation:

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