Write an equation of the line, in point-slope form, that passes through the two given points. points: (–15, 7), (5, –3)
To express the equation of the line passing through the points (-15, 7) and (5, -3) in point-slope form, we start by calculating the slope of the line using the formula:
slope = (change in y)/(change in x)
Slope = (-3 - 7)/(5 - (-15)) = -10/20 = -1/2
Now we can use the point-slope form of a linear equation: y - y1 = m(x - x1) where (x1, y1) represents one of the given points and m represents the slope.
Using the first point (-15, 7), we substitute the values into the equation:
y - 7 = (-1/2)(x - (-15))
Simplifying:
y - 7 = (-1/2)(x + 15)
This is the equation of the line in point-slope form that passes through the points (-15, 7) and (5, -3).