Which graph represents a line with a slope of and a y-intercept equal to that of the line y = x – 2?

The last graph.

Step-by-step explanation:

The first thing we look for is the y-intercept at -2.  The only graphs where the line passes through the y-intercept at this point are the first and the last.

The slope of the line we want is -2/3.  This means the line decreases; the first graph increases, not decreases, so it must be the fourth one..

Checking the fourth graph, from the y-intercept, we go down 2 and over 3 to find the next point; this means the slope is -2/3 and this is the correct line.

d or last graph

Step-by-step explanation:

4th option is correct xy=-10

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