Answer:
The slope is 4/3
Explanation:
An x-intercept is the value of
x when y = 0
, so an x-intercept of 3
can be written as a coordinate on the graph as
(3,0).
Likewise, an
y
-intercept is the value of
y
when
x
=
0
, so an
y
-intercept of
−
4
can be written as a coordinate on the graph as
(
0
,
−
4
)
Now we have two points,
(
3
,
0
)
and
(
0
,
−
4
)
.
To find the slope given two points, we use the formula
rise
run
, or
y
2
−
y
1
x
2
−
x
1
.
Plug in the given points into the formula:
−
4
−
0
0
−
3
=
−
4
−
3
=
4
3
Therefore, the slope is
4
3
.