Answer:
To find the intercepts, equate one variable to
0
and solve for the other variable:
y-intercept
Set
x
to
0
and solve for
y
giving:
3
x
−
5
y
=
15
becomes:
(
3
⋅
0
)
−
5
y
=
15
0
−
5
y
=
15
−
5
y
=
15
−
5
y
−
5
=
15
−
5
−
5
y
−
5
=
−
3
y
=
−
3
or
(
0
,
−
3
)
x-intercept
Set
y
to
0
and solve for
x
giving:
3
x
−
5
y
=
15
becomes:
3
x
−
(
5
⋅
0
)
=
15
3
x
−
0
=
15
3
x
=
15
3
x
3
=
15
3
3
x
3
=
5
x
=
5
or
(
5
,
0
)
Next. we can plot the two points on the grid:
graph{((x-5)^2+(y)^2-0.125)((x)^2+(y+3)^2-0.125)=0 [-20, 20, -10, 10]}
Then, draw a line through the two points:
graph{(3x - 5y -15)((x-5)^2+(y)^2-0.125)((x)^2+(y+3)^2-0.125)=0 [-20, 20, -10, 10]}
