Answer: [tex]y = -2x + 9[/tex]
Step-by-step explanation:
The formula for finding equation of line given slope and one point is given as :
[tex]y - y_{1} = m ( x - x_{1} )[/tex]
[tex]x_{1}[/tex] = 1
[tex]y_{1}[/tex] = 7
[tex]m = -2[/tex]
substituting the values into the equation , we have :
[tex]y - 7 = -2 ( x - 1 )[/tex]
[tex]y - 7 = -2x +2[/tex]
[tex]y = -2x + 2 + 7[/tex]
[tex]y = -2x + 9[/tex]
