Question

Parallel to y=2x-1 through (4, -5)

Answer 1

Given :-

• y = 2x -1
• A point (4,-5)

To Find :-

• The equation of line parallel to the given line and passing through the given point .

Solution :-

As we know that the slope of two parallel lines are same . So , the given equation is ,

`\sf\longrightarrow` y = 2x -1

On comparing to the slope intercept form of the line we have ,

`\sf\longrightarrow` m = 2

Hence the slope of the parallel line will be 2 .

Now here we can use the point slope form of the line as ,

`\sf\longrightarrow` y - (-5) = 2( x - 4)

`\sf\longrightarrow` y + 5 = 2x -8

`\sf\longrightarrow` 2x - y -8 -5 = 0

`\sf\longrightarrow` 2x - y -13 = 0

Hence the required answer is 2x - y -13 = 0.