Answer:
[tex]y=\frac{1}{7}x-\frac{6}{7}[/tex]
Step-by-step explanation:
Two points (1, -1) and (0, 6) are lying on the given line.
Rule to find the coordinates of a point by the rotation of 90° clockwise is,
(x, y) → (y, -x)
Therefore, image points of (1, -1) and (0, 6) will be,
(1, -1) → (-1, -1)
(0, 6) → (6, 0)
Slope of the line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Therefore, slope of the line passing through (-1, -1) and (6, 0) will be,
m = [tex]\frac{0+1}{6+1}[/tex] = [tex]\frac{1}{7}[/tex]
Equation of the line passing through (6, 0) and slope = [tex]\frac{1}{7}[/tex]
y - y' = m(x - x')
y - 0 = [tex]\frac{1}{7}(x - 6)[/tex]
[tex]y=\frac{1}{7}x-\frac{6}{7}[/tex]
