Answer:
The value of the missing coordinate 'r' is -10
Step-by-step explanation:
The two points have the following given parameters;
The point coordinates = (4, -17) and (8, r)
The line on which the two points rests has a slope of, m = 3/4
To find the value of 'r', we use the slope formula as follows;
[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Plugging in the values gives;
[tex]m = \dfrac{3}{4} = \dfrac{-1-r}{11-(-1)} =\dfrac{-1-r}{11 + 1} = \dfrac{-1 - r}{12}[/tex]
[tex]\dfrac{3}{4} =\dfrac{-1 - r}{12}[/tex]
∴ 3 × 12 = 4 × (-1 - r)
36 = -4 - 4·r
36 + 4 = -4·r
r = 40/(-4) = -10
r = -10
