Question

Write an equation for the line that is parallel to the given line and passes through the given point. y=5x+8; (2,16)

Answer 1

The equation for new line is y = 5x + 6.

Explanation:

When a line is parallel to the given line, their gradient will be the same. So the gradient for this new equation is :

`y = mx + b`

`y = 5x + 8`

`m = 5`

We have found out that the gradient of new equation is 5, then, you have to substitute the coordinates into the equation to find b :

`y = 5x + b`

`let \: x = 2 \\ let \: y = 16`

`16 = 5(2) + b`

`16 = 10 + b`

`b = 16 - 10`

`b = 6`