Answer
$d\approx 1.41$
Work Step by Step
RECALL:
The distance between the points $(x_1, y_1)$ and $x_2, y_2)$ can be found using the distance formula:
$d=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}$
Solve for the distance between the two points using the formula above to obtain:
$d=\sqrt{(-\frac{1}{4}-\frac{3}{4})^2+(-\frac{1}{7}-\frac{6}{7})^2}
\\d=\sqrt{(-\frac{4}{4})^2+(-\frac{7}{7})^2}
\\d=\sqrt{(-1)^2+(-1)^2}
\\d=\sqrt{1+1}
\\d=\sqrt{2}
\\d\approx 1.41$
