Please help this is my last question also explain it if you could thanks.

Line segment segment AB has a slope of start fraction four over three end fraction and contains point A(6, −5). What is the y-coordinate of point Q(2, y) if segment QA is perpendicular to line segment segment AB question mark

y = −2

y = −1

y = 2

y = −3

The y-coordinate of point Q is y = -2, hence, point Q's coordinate is (2,-2).

Step-by-step explanation:

The relationship between two perpendicular lines with slopes m₁ and m₂ is given by

m₂ = -(1/m₁)

Let m₁ be the slope of line segment AB and m₂ be the slope of line segment QA

The slope of AB is given in the question as m₁ = 4/3

The slope of QA, m₂ = -(1/(4/3)) (since the two lines are perpendicular)

So, m₂ = -(3/4)

But the slope of any line can be obtained from the coordinates of two known points on that line.

Slope of a line with two points (x₁,y₁) and (x₂,y₂) on it, is given as (y₂ - y₁)/(x₂ - x₁)

For line segment QA with two points Q (2,y) and A(6,-5) known,

Slope of QA, m₂ = (-3/4) = (-5 - y)/(6 - 2)

(-3/4) = (-5 - y)/(4)

-3 = -5 - y

y = -5 + 3 = -2

Hope this Helps!!

both the histogram and the stem and leaf plot will visually show how many shoppers were of various ages within each range of data.   the histogram does not give us the specific ages of these shoppers unlike the stem and leaf plot.a histogram does not give us a true range of the data because we do not know exactly how old the shoppers were. a stem and leaf plot will give exact ages, so we can determine the exact range along with all measures of center and the others measures of center.   with the histogram, we cannot find any of these.

step-by-step explanation: