Question

find an equation of the line passing through the point (5 4) and parallel to the line whose equation is y= 2x-6

Answer 1

`y = 2x - 6`

Explanation:

Given

Equation:
`y = 2x - 6`

Required

Determine the equation of Point: (5,4)

First, we need to determine the slope of
`y = 2x - 6`

The general form of an equation is
`y = mx + b`

Where m represents the slope;

Hence;
`m =2`

Since the equation and the point are parallel. then they have the same slope (m).

`m = 2`

Next, is to determine the equation of the point, using the following formula:

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

Where

`(x_1,y_1) = (5,4)`

So, the equation becomes

`2 = (y - 4)/(x - 5)`

Cross Multiply

`y - 4 = 2(x - 5)`

Open Bracket

`y - 4 = 2x - 10`

Make y the subject of formula

`y = 2x - 10 + 4`

`y = 2x - 6`

Hence, the equation is
`y = 2x - 6`