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write an equation in slope intercept form for the line that passes through (4,-1) and is perpendicular to the graph of y=7/2x-3/2

The equation of line passes through and perpendicular to the graph is

Step-by-step explanation:

Given point is and equation of line is

Let the slope of line that passes through point is

And slope of line is . As it is in the form of

We know the relation between slope of perpendicular line are given by

So, the slope

Now, we can write the equation of line having point   and slope

So, the equation of line passes through and perpendicular to the graph is