the point-slope line equation . where m is
the slope.
\First find the slope of the line.
\ (Substitute 5 for x1, 0.4 for y1,
1 for x2 and
2 for y2) \ \
(Subtract:
) \ \
(Subtract:
)
(Divide:
)
Next find the point-slope line equation .
(Substitute 5 for x1, 0.4 for y1and
) \ \
(Distributive property:
)
(Multiply:
)
(Subtract y from each side)
(Commutative property: a+b=b+a)
(Additive inverse proeprty:
)
(Add 2 to each side)
(Additive inverse proeprty:
)
(Add:
)
The equation is .
First find the y-intercept.
\The y-intercept is the value of y, when x = 0.
\ (Substitute x = 0 in original equation)
(Multiply:
)
(Additive identity proeprty:
)
(Multiply each side by negative one)
(Product of two same signs is positive)
(Product of two different signs is negative)
The y-intercept is .
Next find the x-intercept.
\The x-intercept is the value of x, when y = 0.
\ (Substitute y = 0 in original equation)
(Apply Additive identity property:
)
(Divide each side by 0.4) \ \
(Cancel common terms) \ \
(Divide:
)
The x-intercept is .
The x-intercept is .
The y-intercept is .