Answer:
(y+2)= -3(x-7)
Step-by-step explanation:
We can use the slope-intercept formula to write this equation. 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.
We can substitute the slope into the formula giving:
y
=
−
3
x
+
b
Next, we can substitute the values from the points in the problem for x and y and solve for b
:
−
2
=
(
−
3x
7
)
+
b
−
2
= −
21
+
b
21
−
2
=
21 −
21
+
b
19
=
0
+
b
19
=
b
We can now substitute the slope from the problem and the value for b we calculated into the formula to write the equation.
y
=
−
3
x
+
19
Another process is to use the point-slope formula. The point-slope formula states:
(
y
−
y
1
)
=
m
(
x
−
x
1
)
Where m is the slope and (
x
1
,
y1
) is a point the line passes through.
Substituting the slope and values from the points in the problem gives:
(y
−
−
2
)
=
−
3
(x-7)
(
y
+
2
)
= −
3
(
x
−
7
)
