Equate the line that intersects the abscissa at the same point as the line y = 2x + 2, and the ordinate

Equate the line that intersects the abscissa at the same point as the line y = 2x + 2, and the ordinate at the point with ordinate equal to 4

The straight line equation has the form y = k * x + b.

It crosses the abscissa axis at the same point as the graph of the function y = 2 * x + 2.

We have the second function y2 = 2 * x + 2.

If y2 = 0, then:

2 * x + 2 = 0;

x = -1.

The graph of our function crosses the X-axis at the point (-1; 0).

Also, the graph of the function intersects the Y-axis at a point with an ordinate equal to 4, that is, the second point (0; 4). Let’s substitute the coordinates of this point:

4 = 0 * k + b;

b = 4.

Received the value b. Substitute the coordinates of the first point and the value b into the function formula:

0 = -1 * k + 4;

k = 4.

As a result, our function looks like:

y = 4 * x + 4.