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Sagot :
.
Write the equation in slope-intercept form for the line that passes through the given point
and is parallel to the given equation.
5x – 4y = 4 and passes through ( -8, 2)
step 1
Find the slope of the given equation
we have
5x-4y=4
isolate the variable y
4y=5x-4
y=(5/4)x-1
the slope is m=5/4
Remember that, if two lines are parallel, then their slopes are equal
so
The slope of the parallel line is m=5/4
step 2
Find the equation in slope intercept form
y=mx+b
we have
m=5/4
point (-8,2)
substitute in the equation
2=(5/4)*(-8)+b
solve for b
2=-10+b
b=2+10
b=12
therefore
the equation is
y=(5/4)x+12
or
y=1.25x+12
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