Question

This table gives a few (z,y) pairs of a line in the coordinate plane.
-56 66
-42 58
-28 50
What is the y-intercept of the line?

Answer 1

Answer:

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 $\frac{y - 58}{58 - 66} = \frac{z - (-42)}{-42 - (- 56)}$

⇒ $\frac{y - 58}{- 8} = \frac{z + 42}{14}$

⇒ 14(y - 58) = - 8(z + 42)

⇒ $y - 58 = - \frac{8}{14}z - 24$

⇒ $y =  - \frac{8}{14}z + 34$

This equation is in slope-intercept form.

Hence, the y-intercept of the line is 34. (Answer)