Question

How do you write an equation in standard form if the line passes through (1,2), slope = 7?

Answer 1

`7x - y = 5`

Explanation:

Given: `(1, 2); m = 7`

The equation in point-slope form `y - y_1 = m(x - x_1)`:
`y - 2 = 7(x - 1)`

Distribute the ride side: `" "y - 2 = 7x -7`

Add `2` to both sides: `" "y = 7x - 5`

Put the equation in standard form `Ax + By = C:`

`7x - y = 5`