Answer:
5x + 4y - 4 = 0 is the given line equation.
Step-by-step explanation:
The slope m of the line is given as [tex]-\frac{5}{4}[/tex]
The point of the equation is (x0, y0) = (-4, 6)
Now, by POINT SLOPE formula of a line:
Equation of a line is : ( y -y0) = m (x - x0)
Hence, the equation is [tex](y - 6) = -\frac{5}{4} (x -(-4))[/tex]
On further simplifying[tex]4(y - 6) = -5 (x + 4)\\or, 4y - 24 = -5x- 20[/tex] ,
⇒ 5x + 4y - 24 + 20 = 0
or, 5x + 4y - 4 = 0 is the given line equation.
