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Slope -2 passes through (-3,14)

User Heldt
by
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1 Answer

4 votes

Answer:

y = − 2 x + 8

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

Slope -2 passes through (-3,14)-example-1
User Goodfellow
by
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