Question

1. Write the equation of the line with a slope of -3 that passes through the point (1,9).y=3x + 12y=3x + 6y=-32 +6y=-3x+12

Answer 1

y = -3x + 12

Step-by-step explanation:

The equation of a line with slope m that passes through the point (x1, y1) can be calculated as:

`y-y_1=m(x-x_1)`

So, replacing m by -3, and (x1, y1) by (1, 9), we get:

`y-9=-3(x-1)`

Finally, solving for y, we get:

`\begin{gathered} y-9=-3x-3(-1) \\ y-9=-3x+3 \\ y-9+9=-3x+3+9 \\ y=-3x+12 \end{gathered}`

Therefore, the answer is:

y = -3x + 12