Write an equation of the line, in point slope form, that passes through the two given points
Points (-15,7), (5,-3)
The point-slope form of a linear equation is y - y₁ = m(x - x₁), where (x₁, y₁) represents a point on the line and m represents the slope.
Let's find the slope first using the formula:
m = (y₂ - y₁) / (x₂ - x₁)
Using the points (-15, 7) and (5, -3), we can substitute the values into the formula:
m = (-3 - 7) / (5 - (-15))
= (-3 - 7) / (5 + 15)
= (-10) / (20)
= -1/2
Now, we can take one of the points and substitute it into the point-slope form, along with the slope we just found. Let's use (-15, 7):
y - y₁ = m(x - x₁)
y - 7 = (-1/2)(x - (-15))
y - 7 = (-1/2)(x + 15)
y - 7 = (-1/2)x - (1/2)(15)
y - 7 = (-1/2)x - 15/2
So, the equation of the line in point-slope form is y - 7 = (-1/2)x - 15/2.