The y coordinate of the point is -3/2
How to determine the y-coordinate?
The points are given as:
(-21, 1/2) and (-7,y)
The slope is given as:
m = -1/7
The slope is calculated as:
[tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]
This gives
[tex]-\frac 17 = \frac{y -1/2}{-7 + 21}[/tex]
Evaluate the difference
[tex]-\frac 17 = \frac{y -1/2}{14}[/tex]
Multiply through by 14
[tex]-2 = y -1/2[/tex]
Add 1/2 to both sides
y = -3/2
Hence, the y coordinate of the point is -3/2
Read more about slope at:
https://brainly.com/question/3493733
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