Answer: the y-intercept is (0, 0.89).
Explanation:
To find the y-intercept, we set x to 0 and solve for y.
Given the equation:
√7y + 2.5 = 0.9x
When x = 0:
√7y + 2.5 = 0
To solve for y, subtract 2.5 from both sides:
√7y = -2.5
Now, square both sides to get rid of the square root:
7y = 6.25
Finally, divide both sides by 7:
y = 0.8929
Rounding to two decimal places, y is approximately 0.89.
So, the y-intercept is (0, 0.89).