Final answer:
To find the equation of the line passing through the points (-2, 5) and (3, -4) using a calculator, we need to find the slope and the y-intercept. Plugging the values into the slope-intercept form equation, we get y = -x - 7. Option C is the correct answer.
Step-by-step explanation:
To find the equation of the line passing through the points (-2, 5) and (3, -4) using a calculator, we can use the slope-intercept form of a linear equation, y = mx + b.
First, we need to find the slope (m) using the formula (y2 - y1) / (x2 - x1). Plugging in the coordinates, we get (5 - (-4)) / (-2 - 3) = 9 / -5 = -9/5. Next, we can choose one of the points and plug in the values of the slope and the coordinates into the equation to solve for b. Using (-2, 5): 5 = (-9/5)(-2) + b, which gives b = 5 - (18/5) = -7/5. Therefore, the equation of the line is y = (-9/5)x - (7/5), which is equivalent to option C) y = -x - 7.