Question

Type the slope-intercept equation

of the line that passes through the
points (5,2) and (4,1).
y = [?]x+[ ]

Answer 1

1, -3 ==> y=[1]x+[-3]

Explanation:

m=(y2-y1)/(x2-x1) ==> (x1, y1), (x2, y2) and m is the slope of the graph

(5, 2), (4, 1) ==> (x1, y1), (x2, y2) ==> (x1=5, y1=2), (x2=4, y2=1)

m=(1-2)/(4-5) ==> plug in known values

m=-1/(-1)

m=1

y=mx+b ==> slope intercept equation

2=1(5)+b ==> plug in the slope(m) and a coordinate (5, 2)

2=5+b

2-5=5-5+b ==> solve for b

b=-3

y=1*x+(-3)

Answer: 1, -3