Question

Find the equation of the line that passes through the point (6,14) and is parallel to the equation below. Y=4/3X-4

Answer 1

Given

The point is given (6,14) and equation parallel to the equation passes through the point is given Y=4/3X-4.

Explanation

To determine the equation of line that passes through the point (6,14)

Use the general equation of line.

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

Substitute the values.

`y-14=m(x-6)`

Now the slope of the line will be same as the slope of the equation of line which is parallel .

Because when two lines are parallel the slope of the lines are equal.

`m=(4)/(3)`

Then the equation formed is

`\begin{gathered} y-14=(4)/(3)(x-6) \\ y=(4)/(3)x-8+14 \\ y=(4)/(3)x+6 \end{gathered}`

Answer

Hence the equation of line formed is

`y=(4)/(3)x+6`