Final answer:
The equation of the line in point-slope form that passes through the points (-10, 11) and (4, -17) is y - 11 = -2(x + 10).
Step-by-step explanation:
To write an equation of the line in point-slope form that passes through two given points (-10, 11) and (4, -17), we first need to calculate the slope (m) of the line using the formula m = (y2 - y1) / (x2 - x1). In this case, we have:
- (x1, y1) = (-10, 11)
- (x2, y2) = (4, -17)
Calculating the slope gives us:
m = (-17 - 11) / (4 - (-10)) = -28 / 14 = -2
Now that we have the slope, the point-slope form is written as y - y1 = m(x - x1). Using one of the points (-10, 11) and the slope, we get:
y - 11 = -2(x - (-10))
Which simplifies to:
y - 11 = -2(x + 10)
This is the equation of the line in point-slope form that passes through the points (-10, 11) and (4, -17).