Final answer:
Calculating the slope of the line passing through the points (-5, 15) and (20, 25) yields a slope of 0.4, leading to an equation y = 0.4x + 17. None of the provided options match this equation, indicating a potential error.
The right answer is A) y = 0.5x + 15
Step-by-step explanation:
To write an equation for the line passing through the points (-5, 15) and (20, 25), we first calculate the slope (m) using the slope formula m = (y2 - y1) / (x2 - x1). Plugging in our values gives us m = (25 - 15) / (20 - (-5)) = 10 / 25 = 0.4.
Next, we use one of the points and the slope to write the equation in point-slope form, which is y - y1 = m(x - x1). Using point (-5, 15), the equation becomes y - 15 = 0.4(x - (-5)).
Simplifying this to slope-intercept form, y = 0.4x + 17, we see that none of the provided options A) y = 0.5x + 15, B) y = x + 20, C) y = 2x + 5, D) y = 0.5x + 25 match our equation. Therefore, there seems to be an error either in the calculation or the provided options.
The right answer is A) y = 0.5x + 15