Given
Equation of line
a) y = x - 4
b) y = 8
Find
Equation of the image when the reflection line is the y - axis
Step-by-step explanation
a) the given line is y = x - 4
here the slope of line is 1 and y - intercept is (-4 , 0) and x intercept is (4,0)
the image of the line under reflection in y - axis will be
y = f(-x)
y = -x-4
here the slope of line is -1 , y - intercept (-4 , 0) and x - intercept is (-4 , 0)
b) the given line y = 8
here slope = 0
the image of the line under reflection in y - axis will be y = 8
Final Answer
a) The equation of image is y = - x - 4
b) The equation of image is y = 8