Question 761563
First line is y = 2x + 1 

It is already of the form y = mx + c where m is the slope.

So slope of the first line = 2.

Therefore, slope of the perpendicular line = -1/2

(product of the slopes of perpendicular lines is -1)

The second line has slope -1/2 and passes through -2,3

Let its equation be y = mx + c where we already know m, and we know 1 set of values for x and y, but don't know c.

So, in the equation for the second line, we can substitute for y, m and x.

{{{3 = -1/2*-2 + c}}}

{{{3 = 1 + c}}} 

Subtracting 1 from either side

{{{c = 2}}}

So the equation to the second line with m = -1/2, c = 2 is

{{{y = -(1/2)x + 2}}}


:)