Pass through (4,7) slope - 2

Hello from MrBillDoesMath!

Answer:

y = - 2x + 15

Discussion:

Equation of a line is y = mx + b. We are given that m = - 2 so the equation becomes.

y = - 2x + b

As the line passes through (4,7), substituting these values in the equation gives

7 = - 2 (4) + b = >

7 = - 8 + b = > (add 8 to both sides)

7 + 8 = b

so b = 15

The full equation is therefore

y = - 2x + 15

Regards,

MrB

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