Question

This table gives a few (x,y) pairs of a line in the coordinate plane.

x: -56, -42, -28,
y: 66 58 50

What is the y-intercept of the line?

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the y-intercept of the line, we need to find the value of y when x is equal to 0.

Given the (x, y) pairs:
x = -56, y = 66
x = -42, y = 58
x = -28, y = 50

Using the equation of the line (y = mx + b), we can plug in one of the points to solve for b (the y-intercept):

Using the point (-56, 66):
66 = m(-56) + b
66 = -56m + b

Using the point (-42, 58):
58 = m(-42) + b
58 = -42m + b

Subtract the second equation from the first equation:
66 - 58 = -56m - (-42m)
8 = -14m
m = -8/14
m = -4/7

Plug m = -4/7 back into one of the equations to solve for b:
66 = -4/7(-56) + b
66 = 32 + b
b = 66 - 32
b = 34

Therefore, the y-intercept of the line is 34.