The reflection across the y-axis of a straight line gives an image that have
the same y-intercept as the preimage.
- The equation that represents the line k is y = 1.5·x + 2
Reasons:
The given coordinate of two points on the line are;
(-2, 5) and (0, 2)
The line about which the line l is reflected is the line k
The coordinates of the image of the point (x, y) following a reflection about
the y-axis is the point (-x, y).
Therefore, the coordinates of the points on the line k are;
(-2, 5) [tex]\underset {\longrightarrow } {r_{y-axis}}[/tex] (2, 5)
(0, 2) [tex]\underset {\longrightarrow } {r_{y-axis}}[/tex] (-0, 2) = (0, 2)
The slope of the line is therefore; [tex]\dfrac{5 - 2}{2 - 0} = 1.5[/tex]
The equation of the line is therefore; y - 2 = 1.5·(x - 0) = 1.5·x
Which gives;
The equation that represents the line k is y = 1.5·x + 2
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