Question

Graph the line that contains the point...

Answer 1

We know the slope so substitute the slope first.

`y=-(1)/(2)x+b`

Then substitute the ordered pairs inside the equation.

`-6=-(1)/(2)(3)+b\\-6=-(3)/(2)+b\\-6+(3)/(2)=b \\b=-(9)/(2)`

Graph a line that contains the point ***(3,-6)*** and has a slope of ***-1/2***

The graph below is the "line" that you ask. There's no x = -9 so just plot y = -4.5 and draw.