Question
Mathematics Question on Various Forms of the Equation of a Line
Find the equation of the line which intersects the x-axis at a distance of 3 units to the left of origin with slope -2.
Answer
It is known that if a line with slope m makes x-intercept d, then the equation of the line is given as
y = m(x - d)
For the line intersecting the x-axis at a distance of 3 units to the left of the origin, d = -3.
The slope of the line is given as m = -2
Thus, the required equation of the given line is
y = -2[x - (-3)]
y = -2x - 6
i.e., 2x + y + 6 = 0