Define a linear function by the formula whose graph is parallel to the straight line y + 2x-4 = 0

| September 8, 2021 | education

Define a linear function by the formula whose graph is parallel to the straight line y + 2x-4 = 0 and passes through the point A (-4; -3).

General form of the formula for the linear function y = kx + m. Its graph is straight. Specifying a linear function means finding the values ​​of the coefficients k, m and writing them down in the general form of the formula.

The coefficient k is called angular, since it is equal to the tangent of the slope of the function graph to the Ox axis. For parallel straight lines, the tangent of the slope is the same, therefore k = -2 (since the graph of the desired function is parallel to the graph of the function y + 2x – 4 = 0 or y = -2x + 4).

Substituting the found value k and the coordinates of the point A (-4; -3) into the function formula y = kx + m, we find m:

-3 = -2 * (-4) + m

m = -3 – 8 = -11.

So the required function has the form: y = -2x -11.



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