May someone please help me with this im very confused on how to solve this

4y - 5x + 7 = 0

Step-by-step explanation:

To get to the equation of its perpendicular, firstly we'll need the slope of this line.

(x1, y1) and (x2, y2) are any two points kn the given line.

I caught two points that lie on this graph, and they are :

(two minus make a plus)

slope = -4 /5

That's the slope of the given line.

Now, the slope of the line perpendicular to this one will be equal to its negative reciprocal.

slope (perpendicular) = 5/ 4

and they've given a point that lies in the perpendicular, it is = (3, 2)

For equation of a line thru a point, we have:

the letters in red are the variables that won't be changed thruout.

and (x¹, y¹) are the points on the line.

and thats the required equation of the perpendicular.

step-by-step explanation: