Consider the sequence of steps to solve the equation:
2 answers:
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I'm assuming that ? is a minus sign
3x+4y-8=0
a.
perpendicular lines have slopes that multiply to -1
ok
for ax+by-c=0
the slope is -a/b
so
3x+4y-8=0
slope=-3/4
perpendicular lines have slopes that multiply to get -1
-3/4 times what=-1
times both sides by -4/3
what=4/3
the slope is 4/3
y=mx+b
m=slope
b=y intercept
y=4/3x+b
we are given the point (2,3)
x=2 and y=3
3=4/3(2)+b
3=8/3+b
3-8/3=b
9/3-8/3=b
1/3=b
y=4/3x+1/3 is the equation
b. the slope is 4/3
c. the y intercept is 1/3
d. see attachment
3x+4y-8=0
a.
perpendicular lines have slopes that multiply to -1
ok
for ax+by-c=0
the slope is -a/b
so
3x+4y-8=0
slope=-3/4
perpendicular lines have slopes that multiply to get -1
-3/4 times what=-1
times both sides by -4/3
what=4/3
the slope is 4/3
y=mx+b
m=slope
b=y intercept
y=4/3x+b
we are given the point (2,3)
x=2 and y=3
3=4/3(2)+b
3=8/3+b
3-8/3=b
9/3-8/3=b
1/3=b
y=4/3x+1/3 is the equation
b. the slope is 4/3
c. the y intercept is 1/3
d. see attachment