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7x + 10y = 4.5 : 10y = -7x + 4.5 : y = -x.7/10 + 0.45, the gradient of this line is -7/10

Two straight lines are perpendicular if the product of their gradients is -1.

Let the equation for the perpendicular line be y = mx + c

Then m x -7/10 = -1 : m = 10/7

The equation for the perpendicular line is y = x.10/7 + c

If the values of x and y for the point of intersection are provided then these can be substituted in the perpendicular line equation and the value of c obtained.

If appropriate, the equation can then be restructured to a format similar to the original equation.

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Q: Graph the line perpendicular to 7x plus 10y equals 4.5?
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