Respuesta :

wegnerkolmp2741o

Answer:

y+3 = 2(x-4)

Step-by-step explanation:

If we have a slope and a point, we can use the point slope form for an equation of a line

y -y1= m(x-x1)

where m is the slope and (x1,y1) is the point

y--3 = 2(x-4)

y+3 = 2(x-4)

Answer: Choice B which is y + 3 = 2(x - 4)

Point slope form is this basic equation

y - y1 = m(x - x1)

with m as the slope and (x1,y1) as the point the line goes through. We are told the slope is 2, so m = 2. The point on the line is (4,-3) meaning x1  = 4 and y1 = -3

Plug these values in and simplify

y - y1 = m(x - x1)

y - y1 = 2(x - x1) .... replace m with 2

y - (-3) = 2(x - 4) .... replace x1 with 4, replace y1 with -3

y + 3 = 2(x - 4) .... rewrite y-(-3) as y+3

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