By definition, the formula for the y coordinate is given by:
[tex]y \frac{y1 + ry2}{1 + r} [/tex]
Where,
r: is the ratio that divides the RS line segment
y1: y coordinate of point R.
y2: y coordinate of point S.
Substituting values we have:
[tex]\frac{2 + (\frac{3}{4})7}{1 + \frac{3}{4}}[/tex]
Rewriting we have:
[tex]\frac{2 + \frac{21}{4}}{\frac{7}{4}}[/tex]
[tex]\frac{\frac{29}{4}}{\frac{7}{4}}[/tex]
[tex] \frac{29}{7} [/tex]
Answer:
the y value for the point located 3 over 4 the distance from R to S is:
[tex] \frac{29}{7} [/tex]
