Which is the graph of the line with equation: y + 4 = 2(x−1)

The graph in the first picture which intercepts the y-axis at (0,-6) and has a positive slope of 2.

Step-by-step explanation:

We can write the linear equation into slope-intercept form. We do this by simplifying and isolating y.

y+4=2(x-1)

y+4=2(x)-2(1)

y+4=2x-2

y+4-4=2x-2-4

y=2x-6

In y=mx +b form, we can connect the equation to the graph. This equation has b=-6 or (0,-6) for the y-intercept. It also has m=2 for the slope. This is the first graph.

it has the same slope and a different y-intercept

hope this : )