please help: I need to know how to write an equation of a line that has a sople of -2 and y-intercept of 5. Thank you  

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The easiest way to write that would be to substitute the slope and y intercept into the slope intercept form y=mx+b. the m stands for slope and the b is the y intercept. So after it's plugged in it looks like y=-2/1+5

y = -2x + 5