Write the point-slope form of a linear equation that passes through the two point (3, −5) and (−1, 8)

y + 5 = (-13/4)(x - 3)

Step-by-step explanation:

Going from (-1, 8) to (3, -5), x (the 'run') increases by 4 and y (the 'rise') decreases by 13.  Thus, the slope of the desired line is m = rise / run = -13/4.

The point-slope formula is

y - k = m(x - h), and here m = -13/4, k = -5 and h = 3:

y + 5 = (-13/4)(x - 3)

add an image

step-by-step explanation:

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: