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
P.S. I'll be on vacation from Friday, Dec 22 to Jan 2, 2019. Have a Great New Year!