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
