Answer: The slope for (0,-5) and (-4,0) is -5/4.
Step-by-step explanation:
You subtract [tex]\frac{y^2-y^1}{x^2-x^1}[/tex]. That would be [tex]\frac{0-(-5)}{-4-0}[/tex]. Then you subtract. your answer will be [tex]-\frac{5}{4}[/tex]. Your welcome :)
Answer:
Step-by-step explanation:
Write in Slope intercept form y=mx+b
y=-5/4x-5
(
0
,
−
5
)
,
(
−
4
,
0
)
Find the slope of the line between
(
0
,
−
5
)
and
(
−
4
,
0
)
using
m
=
y
2
−
y
1
x
2
−
x
1
, which is the change of
y
over the change of
x
.
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Slope is equal to the change in
y
over the change in
x
, or rise over run.
m
=
change in y
change in x
The change in
x
is equal to the difference in x-coordinates (also called run), and the change in
y
is equal to the difference in y-coordinates (also called rise).
m
=
y
2
−
y
1
x
2
−
x
1
Substitute in the values of
x
and
y
into the equation to find the slope.
m
=
0
−
(
−
5
)
−
4
−
(
0
)
Simplify.
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Simplify the numerator.
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m
=
5
−
4
−
(
0
)
Simplify the denominator.
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m
=
5
−
4
Move the negative in front of the fraction.
m
=
−
5
4
Use the slope
−
5
4
and a given point
(
0
,
−
5
)
to substitute for
x
1
and
y
1
in the point-slope form y−y1=m(x−x1), which is derived from the slope equation m=y2−y1/x2−x1.
y−(−5)=−5/4⋅(x−(0))
Simplify the equation and keep it in point-slope form.
y+5=−5/4⋅(x+0)
Write the equation in y=mx+b form.
Solve for y.
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y=−5x/4−5
Reorder terms.
y=−(5\4x)−5
Remove parentheses.
y=−5 /4x−5
