Answer:
y = −
2
x + 8
Step-by-step explanation:
Find the value of b using the formula for the equation of a line.
Use the formula for the equation of a line to find b
.
y
=
m
x
+
b
Substitute the value of m into the equation.
y
=
(
−
2
)
⋅
x
+
b
Substitute the value of x into the equation.
y
=
(
−
2
)
⋅
(
−
3
)
+
b
Substitute the value of y into the equation.
14
=
(
−
2
)
⋅
(
−
3
)
+
b
Find the value of b
.
Rewrite the equation
(
−
2
)
⋅
(
−
3
)
+
b
=
14
.
Multiply −
2 by −
3
6
+
b
=
14
Subtract 6 from both sides of the equation.
b
=
14
−
6
Subtract 6 from 14
.
b = 8
Now that the values of
m (slope) and b (y-intercept) are known, substitute them into y
=
m
x
+
b to find the equation of the line.
y
=
−
2
x
+
8
