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Math Problems
Grade 8
Write a linear equation from a slope and y-intercept
Write the equation of the line that passes through the points
(
0
,
−
8
)
(0,-8)
(
0
,
−
8
)
and
(
−
4
,
−
8
)
(-4,-8)
(
−
4
,
−
8
)
. Put your answer in fully simplified point-slope form, unless it is a vertical or horizontal line.
\newline
Answer:
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Write a slope-intercept equation for a line with the given characteristics.
\newline
m
=
−
8.5
m=-8.5
m
=
−
8.5
,
y
y
y
-intercept
(
0
,
4
5
)
(0,\frac{4}{5})
(
0
,
5
4
)
\newline
The slope-intercept equation for a line with the given characteristics is
\newline
□
\square
□
.
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The functions
g
(
x
)
=
2
(
x
−
5
)
(
x
−
3
)
g(x)=2(x-5)(x-3)
g
(
x
)
=
2
(
x
−
5
)
(
x
−
3
)
and
h
(
x
)
=
2
(
x
+
5
)
(
x
+
3
)
h(x)=2(x+5)(x+3)
h
(
x
)
=
2
(
x
+
5
)
(
x
+
3
)
are graphed in the
x
y
x y
x
y
-plane. Which of the following is a true statement?
\newline
Choose
1
1
1
answer:
\newline
(A) The functions have the same
y
y
y
-intercept.
\newline
(B) The functions have the same
x
x
x
-intercepts.
\newline
(C) The functions have the same axis of symmetry.
\newline
(D) The functions have the same vertex.
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Functions
f
f
f
and
g
g
g
are graphed in the
x
y
x y
x
y
-plane, where
f
(
x
)
=
3
(
2
)
x
f(x)=3(2)^{x}
f
(
x
)
=
3
(
2
)
x
and
g
(
x
)
=
3
(
2
)
x
−
6
g(x)=3(2)^{x}-6
g
(
x
)
=
3
(
2
)
x
−
6
. If
(
0
,
a
)
(0, a)
(
0
,
a
)
is the
y
y
y
-intercept of function
f
f
f
and
(
0
,
b
)
(0, b)
(
0
,
b
)
is the
y
y
y
-intercept of function
g
g
g
, then what is the value of
a
−
b
a-b
a
−
b
?
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