Give the slope-intercept form of the equation of the line that is perpendicular to
5x + 2y = 12 and contains the point (2, 3).

hint: solve for y=mx+b in order to get the slope (m) and then substitute in the slope and the point to find b.

For this case we have that by definition, the equation of a line of the slope-intersection form is given by:

Where:

m: It's the slope

b: It is the cut-off point with the y axis

In addition, if two lines are perpendicular then the product of their slopes is -1. That is to say:

We have the following line:

So, we have to:

We find

Therefore, the line is of the form:

We substitute the given point to find "b":

Finally, the equation is:

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