Find the value of the coefficient k of the function y = kx if the point A (-3; 12)

| April 10, 2021 | education

Find the value of the coefficient k of the function y = kx if the point A (-3; 12) belongs to the graph of this function. Write down the equation of the linear function.

At point A (-3; 12), the x coordinate is (-3), and the y coordinate is 12. The straight line passes through point A, that is, the x and y coordinates are also suitable for the equation of the straight line at this point.

Substitute the values x = -3 and y = 12 in the equation of the straight line y = kx and find the slope of the linear function k.

12 = -3k;

flip the equation to make calculations easier:

-3k = 12;

divide the equation by (-3):

k = -4.

Substitute the coefficient (-4) into the equation of the straight line y = kx: y = -4x.

Answer: the equation of a linear function has the form y = -4x.



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