Graph using m=2/3 and point (1,1)
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y = m x + b
y = 0
x = 1
m = 3 2 0 = 3 2 × 1 + b
0 = 3 2 + b
subtract - 3/2 from both sides
0 − 3 2 = 3 2 − 3 2 + b − 3 2 = b
The first point is ( 0, -3/2)
− 3 2 + 3 = − 3 2 + 6 2 = + 3 2
0 + 2 = 2
The second point is ( 2, + 3/2)
Plot the two points and connect them with a line.
The equation is
y = 3 2 x + − 3 2