Solution.
Given the line y = -4x+ 5
Compare the equation with line y = mx + c
m = -4.
That is the slope of the line is -4
The slope of the line parallel to the line y = -4x+ 5 is also -4
Hence, m = -4, given point = (0, 4)
The equation of the line can be calculated by
[tex]\begin{gathered} y-y_1=m(x-x_1) \\ \text{Where (x}_1,y_1)=(0,\text{ 4)} \\ \text{Hence, } \\ y-4=-4(x-0) \\ y-4=-4x+0 \\ y-4=-4x \\ y=-4x+4 \\ \end{gathered}[/tex]The answer is y = -4x + 4
