Which of the following graphs shows the graph of this equation
Y+1=2 (x-1)
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Answer:
Graph D is correct option.
Step-by-step explanation:
Given : Y+1=2 (x-1).
To find : Which of the following graphs shows the graph of this equation .
Solution : We have given that
Equation : Y+1=2 (x-1)
Distribute 2 over (x-1)
Y+1 = 2x -2
On subtracting both sides by 1
Y = 2x -2 -1.
Y = 2x -3.
We can see the equation in form of point slope form y = mx + b.
Where, m = slope , b is y -intercept.
Slope = 2 and y intercept = -3.
We can see from given D graph line cut at -3 on y axis.
Therefore, Graph D is correct option.