Question 96228
Use the formula for the slope of a line:
m={{{(y1-y2)/(x1-x2)))}}}
m={{{((2-3)/(1-3)))}}}
m={{{(-1)/(-2)))}}}
m={{{(1/2)}}}
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Use the formula for the slope-intercept equation of a line:
y=mx+b
Pick one point and plug it into the equation; plug-in the slope and solve for the b-value:
2=(1/2)(1)+b
2=1/2+b
2-1/2=b
3/2=b
.
Plug-in the value of the slope and the b-term:
y=1/2x+3/2
f(x)=1/2x+3/2