Answer:{y=1/4x-5 [-10, 10, -5, 5]}
Step-by-step explanation:
The
−
5
part says that the
y
-intercept of this line is
−
5
. The
y
-intercept is the point at which a line crosses the
y
axis. Therefore,
x
is always
0
for the
y
intercept.
The
1
4
x
is implying that the slope or the gradient (same thing) of this line is
1
4
. Therefore,
R
i
s
e
R
u
n
=
1
4
.
R
i
s
e
R
u
n
can be expanded to
y
2
−
y
1
x
2
−
x
1
.
Since we already know that the point
{
0
,
−
5
}
lies on this line, let's substitute
x
2
for
0
and
y
2
for
−
5
.
−
5
−
y
1
0
−
x
1
=
1
4
Now, if you choose a point for
x
1
, you can simply work out
y
1
. For example, let's say I chose
4
.
−
5
−
y
1
0
−
4
=
1
4
=
−
5
−
y
1
−
4
=
1
4
Now, what makes
1
4
when divided by
−
4
? The answer is
−
1
.
Therefore, we need
−
1
on the numerator. We already have
−
5
, and
y
1
is negative, so the number
−
4
fits. So the coordinates for the 2nd point is
{
4
,
−
4
}
−
5
−
−
4
−
4
=
1
4
=
−
1
−
4
=
1
4
Now, with the points we have,
{
0
,
−
5
}
and
{
4
,
−
4
}
, we can graph this by plotting the points and joining them.
You should get this graph{y=1/4x-5 [-10, 10, -5, 5]}
