Answer :
The equation of the line will be "[tex]4x+y=4[/tex]".
Given points:
- [tex](x_1, y_1) = (2, -4)[/tex]
- [tex](x_2, y_2) = (0,4)[/tex]
The slope of the line:
→ [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]= \frac{4-(-4)}{0-2}[/tex]
[tex]= \frac{4+4}{-2}[/tex]
[tex]=-\frac{8}{2}[/tex]
[tex]= -4[/tex]
hence,
The equation of line:
→ [tex](y-y_1) = m(x-x_1)[/tex]
[tex]y-(-4)=-4(x-2)[/tex]
[tex]y+4=-4x+8[/tex]
[tex]4x+y=4[/tex]
Thus the above answer is right.
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