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A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
Find an equation of the line passing through the given points. (1, 1), (4, -12).
Solution:
From the question it is given that pair of points. (1, 1), (4, -12).
The slope of the line that passes through (x1, y1) and (x2, y2) is given by:
Slope (m) = (y2 - y1) / (x2 - x1)
So, (x1, y1) = (1, 1) and (x2, y2) = (4, -12)
Substitute the given point (x1, y1) = (1, 1) in the equation of a line,
y - 1 = m (x - 1) --- (equation 1)
Now, Substitute (x1, y1) and (x2, y2) with their given values, we get,
m = (-12 - 1) / (4 - 1)
m = -13 / 3
Substituting value of m in (equation 1), we get
y - 1 = (-13/3)(x - 1)
3y - 3 = -13x + 13
3y = -13x + 16
y = (-13x + 16)/3
Therefore, the equation of the line is y = (-13x + 16)/3.
Find an equation of the line passing through the given points. (1, 1), (4, -12).
Summary:
The equation of the line passing through the given points. (1, 1), (4, -12) is y = (-13x + 16)/3.
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