Question

Someone please please please help me out

Answer 1

3x + 4y = 8

Explanation:

When the slope of the line and a point passing through a point is given we can use slope & one point form to arrive at the equation.

Slope and on - point form:
`(y - y_1) = m(x - x_1)`

where
`m` is the slope of the line and

`(x_1, y_1)` is the point on the line.

Here,
`$ m = (-3)/(4) $` and
`$ (x_1, y_1) = (4, -1) $`.

Therefore:
`$ y + 1 = (-3)/(4) (x - 4) $`

`$ \implies 4y + 4 = -3x + 12 $`

i.e., 3x + 4y = 8