Write an equation of a line parallel to line gh below in slope-intercept form that passes through the point (−5, 6).

y = −x − 1
y = x − 1
y = −x + 11
y = x + 11

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The equation of a line parallel to line GH in slope-intercept form that passes through the point (−5, 6) is:

The line GH passes through:

(-2,2) and (2,6)

The slope of a given line GH is given by:

We know that if a line is parallel to a given line than both have the same slope.

i.e. the slope of second line is: 1

Also, we know that a equation of a line with given slope "m" and passing through point (a,b) is given by:

Here we have m=1

and (a,b)=(-5,6)

and hence the equation of parallel line is:

                Hence, the equation is:

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