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A day full of math games & activities. Find one near you.
What is the equation of a line that passes through (7, 8) and has a slope of -3?
Solution:
The equation of a line that passes through a point (x₁,y₁) and a slope m is given by
(y - y1) = m (x - x1)
Given,
Slope of the line, m = -3
Point (x1, y1) = (7, 8)
Now, the equation of the line is
y - 8 = (-3)(x - 7)
y - 8 = -3x + 21
y = -3x + 21 + 8
y = -3x + 29
Therefore, the equation of the line is y = -3x + 29.
What is the equation of a line that passes through (7, 8) and has a slope of -3?
Summary:
The equation of a line that passes through (7, 8) and has a slope of -3 is y = -3x + 29
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