Question

on a number line, the directed line segment from q to s has endpoints q at –8 and s at 12. point r partitions the directed line segment from q to s in a 4:1 ratio.which expression correctly uses the formula (startfraction m over m n endfraction) (x 2 minus x 1) x 1 to find the location of point r?

Answer 1

The location of the point R will be at $R(x, y) =(\frac{-32}{5}, \frac{12}{5} )$

The midpoint formula is expressed according to the formula;

$R(x, y) = (\frac{ax_1+bx_2}{a+b},\frac{ay_1+by_2}{a+b})$

where;

• a and b are the ratios

Given the coordinates Q(-8, 0) and S(12, 0) partitioned in a 4:1 ratio, the coordinate of point R will be expressed as:

$R(x, y) = (\frac{4(-8)+0}{4+1},\frac{1(12)}{4+1})\\R(x, y) =(\frac{-32}{5}, \frac{12}{5} )$

Hence the location of the point R will be at $R(x, y) =(\frac{-32}{5}, \frac{12}{5} )$

Learn more on midpoint here: https://brainly.com/question/5566419