Respuesta :
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