Question

What is the equation of a line with a slope of 2, that goes through the point (12,5)?

Answer 1

`y = 2x-19`

Explanation:

Line passes through the point
`(12,\: 5) =(x_1,\: y_1)` and has a slope (m) = 2

Equation of line in point slope form is given as:

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

`\therefore y - 5 = 2(x-12)`

`\therefore y = 2x-24+5`

`\therefore y = 2x-19`