Mathematics - Parabola Question with Solution | TestHub

As $(-1,1)$ is a point on $3x-4y+7=0$, the rotation is possible. Slope of the given line $=3/4$. Slope of the line in its new position $=\frac{\frac{3}{4}-1}{1+\frac{3}{4}}=-\frac{1}{7}$ The required equation is $\mathrm{y}-1=-\frac{1}{7}(\mathrm{x}+1)\text{ or }7\mathrm{y}+\mathrm{x}-6=0$