Write the point slope form of an equation of the line that passes through (2,1) and (4,-3)
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Answer:
b
Step-by-step explanation:
1. find the slope
y2-y1/x2-x1
-3-1=-4
4-2=2
=-2-------this is our slope
point slope equation
y-y1=m(x-x1)
y+3=-2(x-4)
Answer: y+3=-2(x-4)
Step-by-step explanation:
First, let’s find the slope. To do that just do (y2-y1)/(x2-x1). Substitute: (-3-2)/(3-2)= -5.
second, we want to put it in y=mx+b form so choose which coordinates you want to work with. Let’s say (2,1). So, 1=-5(2)+b
*(the one represents the y value, the -5 is slope and 2 is the x value)*
now just solve for b. b= 11
so the equation is: y=-5x+11
now, you can solve for the choices (I mean put them in y=Mx+b form) or just substitute in the coordinates to see which equation will work. In this case for choice w if we do 1+3=-2(2-4), that will be the answer.