The y-intercept of the line is 34.
Step-by-step explanation:
There are few points on the z-y plane through which a straight line passes.
The points are (-56,66), (-42,58) and (-28,50).
Now, take the first two points to get the equation of the straight line.
The equation is ![\frac{y - 58}{58 - 66} = \frac{z - (-42)}{-42 - (- 56)}](/tpl/images/0441/0681/e2edc.png)
⇒ ![\frac{y - 58}{- 8} = \frac{z + 42}{14}](/tpl/images/0441/0681/0e5b3.png)
⇒ 14(y - 58) = - 8(z + 42)
⇒ ![y - 58 = - \frac{8}{14}z - 24](/tpl/images/0441/0681/a19a4.png)
⇒ ![y = - \frac{8}{14}z + 34](/tpl/images/0441/0681/ffb48.png)
This equation is in slope-intercept form.
Hence, the y-intercept of the line is 34. (Answer)