Question

Find the answer and fill in blank one. Please hurry!

Answer 1

`y=-3x+10`

Step-by-step explanation

The general form of the equation of a line is:

`y=mx+b`

where m = slope

b = y-intercept

A line that is perpendicular to another line has a slope that is the negative inverse of the slope of the line.

Hence, the slope of the line we are looking for is:

`\begin{gathered} -(1)/((1)/(3)) \\ \Rightarrow-3 \end{gathered}`

Now, we can apply the point-slope method to find the equation of the line:

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

where (x1, y1) = point that the line passes through

Therefore, the equation of the line is:

`\begin{gathered} y-4=-3(x-2) \\ y-4=-3x+6 \\ y=-3x+6+4 \\ y=-3x+10 \end{gathered}`

That is the answer.