The equation of the straight line passing through (5,-10) and making equal but opposite intercept is y = -4x + 10.
To solve the problem, we need to know the equation of a straight line
Equation of a straight line in slope intercept form
The equation of a straight line in slope intercept form is given by y = mx + c where
- m = slope and
- c = y- intercept.
Given that the straight line passes through the point (5, -10) and making equal but opposite intercept, its intercept is at (-5, 10)
The gradient of the line
We need to find the gradient, m by making m subject of the formula in y.
So, m = (y - c)/x
With
- x = 5,
- y = -10 and
- c = 10, we have
m = (y - c)/x
m = (-10 - 10)/5
m = -20/5
m = -4
Substiting m and c into y, we have
y = mx + c
y = -4x + 10
So, the equation of the straight line passing through (5,-10) and making equal but opposite intercept is y = -4x + 10.
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