The point P(-3,9) belongs to a line intercepting the origin. Find the equation of the line.
We are told that the line passes through the origin O (0,0) and the point P (-3,9). First we need to find the gradient of the line m; this is given by m = (change in y)/(change in x), hence m = (9-0)/(-3-0) = 9/-3 = -3. The general equation of a line is y = mx+c. Because the line intercepts the origin c = 0, hence the equation of the line is y = -3x.
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Related Maths GCSE answers
All answers ▸The equation of the line L1 is y = 3x – 2 The equation of the line L2 is 3y – 9x + 5 = 0 Show that these two lines are parallel.
if x^2 + 9x + 20 = 0, what are the possible values of x?
2x + 5y =33 x+3y = 19
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