Help! I've been trying to work this out for a while and I still don't understand it!

Pick two points from the graph. X1 y1 and x2 y2. Example points from your graph:

(4,1) and (-4,3)

x1=4

y1=1

x2=-4

y2=3

Step-by-step explanation:

To find slope take the points you got from graph and put it into the equation y2-y1/x2-x1

3-1/-4-4=-2/8=-1/4

Then take that slope u got and plug into this equation to find equation of the line

y-y1=m(x-x1)

y-1=-1/4(x-4)=y-1=1/4x+(1/4)(4)

y-1=-1/4x+1

+1 +1

——————

y=-1/4x+2 ANSWER CHECK

m=slope! Which is -1/4

y=-1/4x+2 is your answer!!

graph b

step-by-step explanation:

one solution- graph a (clear intercepting point.)

no solution- graph b (they're parallel, there will never be a point of interception.)

infinite solutions- graph c (all points intercept.)