Find the equation for the line that passes through the point (4,2) that is parallel to the line with the equation
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Answer : <em>Equation of line is</em> 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+