Find the equation of the line that is parallel to the line y = -3/2 x + 4 and passes through the point (4, 0)? justify how you knew what slope to use for step 1. show all work needed to complete this problem

Hello there,

Parallel Lines: have the same slope

Slope Intercept Form: y = mx + b

Given Equation:

y = -3/2x + 4

Point Given: (4, 0)

Plug in and Solve:

0 = 2/3(4) + b

0 = 8/3 + b

-8/3  -8/3

-8/3 = b

y = 2/3x - 8/3

Hope I Helped!

-Char

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step-by-step explanation:

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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: