Find an equation of the line passing through the point (-4,6) that is perpendicular to the line y=7/2x+5. work .

y = x + 4

Step-by-step explanation:

We are to find the equation of line 1 which passes through point (-4,6)

Line 1 is perpendicular to line 2.

The equation of line 2 is; y = x + 5

The slope of line 2 is  

Because the product of two perpendicular line is -1;

The slope of line 1 is -1 ÷   =  

Taking another point (x,y) on line 1;

Slope = change in y ÷ change in x

=

y - 6 =  (x + 4)

y - 6 =  x -

y =   - + 6

y = x + 4