Answer:
3x + 4y = 8
Step-by-step 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: [tex](y - y_1) = m(x - x_1)[/tex]
where [tex]m[/tex] is the slope of the line and
[tex](x_1, y_1)[/tex] is the point on the line.
Here, [tex]$ m = \frac{-3}{4} $[/tex] and [tex]$ (x_1, y_1) = (4, -1) $[/tex].
Therefore: [tex]$ y + 1 = \frac{-3}{4} (x - 4) $[/tex]
[tex]$ \implies 4y + 4 = -3x + 12 $[/tex]
i.e., 3x + 4y = 8
