Answer:
[tex]y=-2x+9[/tex]
Step-by-step explanation:
we know that
The equation of a line in point slope form is equal to
[tex]y-y1=m(x-x1)[/tex]
In this problem we have
[tex](x1,y1)=(1,7)\\m=-2[/tex]
substitute
[tex]y-7=-2(x-1)[/tex]
Convert to slope intercept form
[tex]y=mx+b[/tex]
[tex]y-7=-2x+2[/tex]
[tex]y=-2x+2+7[/tex]
[tex]y=-2x+9[/tex]