the x-intercept of a line is -5 and the y-intercept of the line is -2. What is the equation of the line?
Do you know the standard line equation?
y=mx+b?
There are two ways to approach the problem we can use y=mx+b and solve for m. Or we can use m=(y2-y1)/(x2-x1). Which are you learning?
both
well perhaps the easiest way is to just use the slope equation. The x intercept is when y=0, thus point one (x1,y1)=(-5,0). The y intercept is when x =0. Thus point two (x2,y2)=(0,-2). Now use the equation I wrote above to solve for m. Do you knwo what to do once you find m?
no
Well, as I mentioned above, the standard equation of a line is in the form of y=mx+b. YOu are now solving for m, and the y intercept is b. thus b=2
b=-2
so i use m=y2-y1/ x2-x1?
yes, make sure you use your order of operations. (y2-y1)/(x2-x1)
I got -2/5?
(-2-0)/(0-(-5)) =-2/5.. yes you are correct
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