Write the equation of the line that passes through the point p(4,3)and is perpendicular to the line y=-5x+2

y = 1/5x + 2 1/5

Step-by-step explanation:

since the slope of the line in the equation given is -5 the perpendicular slope to that will be the opposite reciprocal which is 1/5

Then plug x, y and m into y = mx + b

3 = 1/5 (4) + b

3 = 4/5 + b

2 1/5 = b

Write equation

y = 1/5x + 2 1/2

guess at question:

a vertical line intersects the graph of g(x,y) = 0 at two points. what conclusion follows about the function f(x) implicitly defined by g(x,f(x)) = 0?

the domain of f(x) cannot include the x coordinate of any such vertical line.

informally, f(x) is not a function, and

g(x,y)=0 cannot be solved for y uniquely.

the relation r = {(x,y) such that g(x,y) = 0} is a function if

for all (a,b) ∊ r and (c,d) ∊ r, a=c implies b=d.

step-by-step explanation: