Question

15. Write an equation of a line in standard form that: 2x + 5 passes through the point (1, 5) and is parallel to y=2x+5​

Answer 1

`y = 2x +3`

Explanation:

Given

Parallel:
`y = 2x + 5`

Passes through (1,5)

Required

Determine the equation

Because it is a parallel to
`y = 2x + 5` then they have the slope.

The slope of
`y = 2x + 5` is 2 i.e. from
`y = mx + b`

So:

`m = 2`

The line equation is then calculated using:

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

`y = 2(x - 1) + 5`

`y = 2x - 2 + 5`

`y = 2x +3`