First find the slope (m).
\Slope formula is .
Substitute the coordinates of points into the slope formula.
\ (Replace
with 3, 7,
2 and
3)
(Subtract:
)
(Divide:
)
The slope of .
Next find the y-intercept (b).
\The equation in slope-intercept form is ,
Where m is slope, b is the y-intercept.
\ (Substitute 2 for m)
(Substitute 3, 7 for x, y)
(Multiply:
)
Apply subtraction property of equality: If a = b then a c = b
c
(Subtract 6 from each side)
Apply commutative property of addition: a + b = b + a.
\ (Apply additive inverse property:
)
(Subtract:
)
Substitute 2 for m and 1 for b in the Slope-intercept form equation.
\The equation in slope-intercept form is .