Answer:
The missing coordinate, 'r', is 3
Step-by-step explanation:
The given parameters of the two points are;
The coordinates of the given points = (4, -17) and (8, r)
The slope of the line on which the two points lie, m = 5
The formula for finding the slope of a line is given as follows;
[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Therefore, we have;
[tex]m =5 = \dfrac{r-(-17)}{8-4} = \dfrac{r + 17}{4}[/tex]
[tex]5 = \dfrac{r + 17}{4}[/tex]
5 × 4 = r + 17
r = 20 - 17 = 3
r = 3
