What is the slope of the line that passes through the points (1, -6)(1,−6) and (-8, 9) ?(−8,9)?
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Since we have to solve this system graphically, we'll have to draw both lines.
To draw a line, simply build a little tables with two x,y values: for the first line we have
So, you can draw the points (0,3) and (1,2), connect them, and you'll have the graph of the line
For the second line we have
So, you can draw the points (0,5) and (1,6), connect them, and you'll have the graph of the line
Finally, we have to check where the two lines cross. If your drawing is accurate enough, you'll see that the point you're looking for is (-1, 4)
