Question

Which of the following graphs shows the graph of this equation Y+1=2 (x-1)

Answer 1

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.

Answer 2

Y+1=2(x-1)
y+1=2x-2
y+1-1=2x-2-1
y=2x-3
Graph C is the answer