Final answer:
To find the value of y when x = 74, you can use the given information and the slope-intercept form of a straight line equation.
Step-by-step explanation:
To find the value of y when x = 74, we can use the given information. We know that when x = 84, y = -152. Since the line of best fit is a straight line, we can use the slope-intercept form, which is y = mx + b. The slope (m) represents the rate of change and the y-intercept (b) represents the value of y when x = 0.
First, let's find the slope using the two given points: (-152, 84) and (y, 74).
Slope (m) = (y2 - y1) / (x2 - x1) = (74 - 84) / (y - (-152))
Let's substitute the values we have: (74 - 84) / (y + 152) = -152 / 84
Solving for y, we get:
y = -152 + (74 - 84) / (84 / 152)
Simplifying further, we find that y = -152 - 1.0476
Therefore, when x = 74, y is approximately -153.0476.