Write 5 equations of lines passing through point -2,3
Answers
Answer:
y − 3 = m ( x + 2 )
Step-by-step explanation:
The equation of a line passing through (-2,3) having a slope m is
Equation of the line is y − y1= m (x − x 1)
⇒ y -3 = m ( x - ( −2 ) )
y − 3 = m ( x + 2 )
Answer:
Step-by-step explanation:
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So and is
We can use the point-slope formula to write an equation for this line. The point-slope formula states:
(
y
−
y
1
)
=
m
(
x
−
x
1
)
Where
m
is the slope and
(
x
1
,
y
1
)
is a point the line passes through.
Substituting the slope and values from the point in the problem gives:
(
y
−
−
9
)
=
3
(
x
−
−
5
)
(
y
+
9
)
=
3
(
x
+
5
)
We can solve for
y
if we need to show the equation in slope-intercept form. The slope-intercept form of a linear equation is:
y
=
m
x
+
b
Where
m
is the slope and
b
is the y-intercept value.
y
+
9
=
(
3
×
x
)
+
(
3
×
5
)
y
+
9
=
3
x
+
15
y
+
9
−
9
=
3
x
+
15
−
9
y
+
0
=
3
x
+
6
y
=
3
x
+
6
Hope it helped