Specify a linear function by the formula if it is known that its graph passes through point A (1; -2)

| August 1, 2021 | education

Specify a linear function by the formula if it is known that its graph passes through point A (1; -2) and is parallel to: the bisector of the second and fourth coordinate angles.

The bisectors of the second and fourth coordinate angles lie on a straight line, in which the values of the coordinates of any point belonging to the straight line are opposite, which means that the straight line has the form:

y = -x.

So the graph of the desired straight line is parallel to the straight line y = -x, their slopes are equal:

k1 = k2 = -1;

y = -x + b – equation of a straight line.

Substitute the values of the coordinates of the point A (1; -2) and write the equation of the straight line:

-2 = -1 * 1 + b;

b = -2 + 1;

b = -1.

y = -x – 1 is the equation of a linear function.



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