Question

Write the equation of a line parallel to the line y = 5x + 2 that passes through the point (2,1).

Answer 1

`\large\boxed{y=5x-9}`

Explanation:

The slope-intercept form of an equation of a line:

`y=mx+b`

Parallel lines have the same slope. Therefore if given line is

`y=5x+2`

then the slope of our line is
`m=5`.

We have the equation:

`y=5x+b`

The line passes through (2, 1). Put the coordinsted pf the point to the equation:

`1=5(2)+b`

`1=10+b` subtract 10 from both sides

`-9=b\to b=-9`

Finally:

`y=5x-9`