The line equation in slope-intercept form is y = mx + b, where m is the slope
\and b is the y-intercept.
\Identify the slope. The slope is .
Find the y-intercept value by substituting the slope and the coordinates of the given
\point in the equation.
\y = mx + b (Slope-intercept form line equation)
\ (Substitute
for m, 8 for x, and –4 for y)
(Multiply:
)
(Divide:
)
(Add 6 on each side)
(Commutative property of addition: a + b = b + a)
(Apply additive inverse property:
)
(Add:
)
Now substitute the values of slope ‘m’ and y-intercept ‘b’ in slope intercept
\form line equation
\y = mx + b (Slope-intercept form line equation)
\ (Substitute
for m and 2 for b)
(Product of two different signs is negative)
The equation of the line that passes through the point (8, –4) and
\has a slope of is
.