Answer:
Distance between the points = 7 units
Step-by-step explanation:
If a point P(h, k) is reflected across x-axis, rule to be followed will be,
P(h, k) → P'(h, -k)
By this rule,
If the coordinates of new point P' are (5, -3.5)
Then the coordinates of pre-image point P will be (5, 3.5)
By using formula to get the distance between two points,
Distance = [tex]\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}[/tex]
Distance between (5, 3.5) and (5, -3.5) = [tex]\sqrt{(5-5)^2+(3.5+3.5)^2}[/tex]
= [tex]\sqrt{0+7^2}[/tex]
= 7 units
