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