Write an equation in point-slope form for the line that passes through the given points.
(-4, 6), (-2, 22)
Write an equation in point-slope form for the line that passes through the given points. (-4, 6), (-2, 22)
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Write an equation in point-slope form for the line that passes through the given points.
(-4, 6), (-2, 22)
To find the equation of the line in point-slope form that passes through the points ((-4, 6)) and ((-2, 22)), we first need to calculate the slope (m) of the line using the formula:
[
m = frac{y_2 – y_1}{x_2 – x_1}
]
Using the points, let’s denote:
– ((x_1, y_1) = (-4, 6))
– ((x_2, y_2) = (-2, 22))
Now, substitute the values into the formula:
[
m = frac{22 – 6}{-2 – (-4)} = frac{16}{2} = 8
]
Now, we can use the point-slope form of a line, which is given by:
[
y – y_1 = m(x – x_1)
]
Using point ((-4, 6)) and the slope (m = 8):
[
y – 6 = 8(x – (-4))
]
[
y – 6 = 8(x + 4)
]
Thus, the equation in point-slope form is:
[
y – 6 = 8(x + 4)
]
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