find the equation of the line
a. in slope intercept form y=mx+b
b. in standard form ax+by=c
4.the x intercept -3 and the y-intercept is 6
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Answer:
x-intercept of two means we have the point
(
2
,
0
)
A y-intercept of negative two means we have the point
(
0
,
−
2
)
Recall the formula of the slope of a line:
m
=
y
2
−
y
1
x
2
−
x
1
Since we have two points, we can calculate the slope using (
(
x
1
,
y
1
)
=
(
2
,
0
)
,
(
x
2
,
y
2
)
=
(
0
,
−
2
)
m
=
−
2
−
0
0
−
2
m
=
1
The point-slope form of a line is:
y
−
y
1
=
m
(
x
−
x
1
)
Where
(
x
1
,
y
1
)
is a point through which the line passes and
m
is the slope.
We already have m; we can use either of our points for
(
x
1
,
y
1
)
, let's use
(
2
,
0
)
.
y
−
0
=
1
(
x
−
2
)
y
=
x
−
- 2
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