Answer:
Step-by-step explanation:s
l
o
p
e
=
y
2
−
y
1
x
2
−
x
1
y
=
−
1
5
x
+
7
5
Step-by-step explanation:
The slope of the line passing through the two points
(
−
3
,
2
)
and
(
2
,
1
)
is given by
s
l
o
p
e
=
y
2
−
y
1
x
2
−
x
1
s
l
o
p
e
=
1
−
2
2
−
(
−
3
)
s
l
o
p
e
=
−
1
5
The equation of the straight line is
y
=
a
⋅
x
+
b
s
l
o
p
e
=
a
=
−
1
5
y
=
−
1
5
x
+
b
The point
(
2
,
1
)
is a point on the straight line. Plugging the coordinates of this point and the line equation allows us to find the Y-intercept.
1
=
−
1
5
×
2
+
b
b
=
1
+
2
5
b
=
7
5
The equation of the straight-line will be
y
=
−
1
5
x
+
7
5
To find the X-intercept assign the value 0 to
y
0
=
−
1
5
x
+
7
5
1
5
x
=
7
5
x
=
7
graph{-1/5*x+7/5 [-9.63, 10.37, -3.4, 6.6]}