Answer:
y = 10x + 84
Explanation:
We can use the point-slope form of a linear equation to find the equation of the line passing through the given points.
The point-slope form of a linear equation is:
y - y1 = m(x - x1)
where m is the slope of the line, and (x1, y1) is a point on the line.
First, we can find the slope of the line passing through the two given points:
slope = (y2 - y1) / (x2 - x1)
where (x1, y1) = (-8, 4) and (x2, y2) = (-9, -6)
slope = (-6 - 4) / (-9 - (-8)) = -10 / -1 = 10
Next, we can choose one of the given points (let's use (-8, 4)) and substitute the slope and the point into the point-slope form:
y - y1 = m(x - x1)
y - 4 = 10(x - (-8))
y - 4 = 10(x + 8)
y - 4 = 10x + 80
y = 10x + 84
Therefore, the equation of the line passing through the points (-8, 4) and (-9, -6) in point-slope form is: y - 4 = 10(x + 8).