Which graph matches the equation y+3=2(x+3)?
1 answer:
Answer:
The graph that represents the coordinates (-3,-3) and (0,3)
Step-by-step explanation:
The provided images illustrate the choices available.
The equation:
y+3=2(x+3)
is formulated in point-slope fashion, which is:
y-y₁=m(x-x₁)
where (x₁, y₁) denotes a point on the line and m indicates its slope. This implies that (-3,-3) resides on the line. To find the y-intercept, we substitute x = 0 into the equation, resulting in:
y+3=2(0+3)
y+3 = 6
y = 6 - 3
y = 3
This confirms that point (0, 3) is indeed on the line.
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