Answers:
- slope = 1
- equation is y = x-4
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Step-by-step explanation:
Two points on this diagonal line are (0,-4) and (1,-3)
Let's apply the slope formula to get the following
m = (y2-y1)/(x2-x1)
m = (-3-(-4))/(1-0)
m = (-3+4)/(1-0)
m = 1/1
m = 1
The slope is 1. We can think of it as 1/1 to indicate "go up 1, and over to the right 1". In other words, slope = rise/run = 1/1.
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Note how the graph crosses the y axis at -4, so this is the y intercept.
Since the y intercept is -4, this means b = -4
So with m = 1 and b = -4, we go from y = mx+b to y = 1x+(-4) which simplifies to y = x-4