Write down the equation of a straight line passing through the point (-2: 1), parallel to y = 1 \ 4x + 6

Let’s find a linear function, the graph of which passes through the point (-2; 1), and is parallel to the straight line y = 1/4 * x + 6.

The straight line equation is as follows:

y = k * x + b. Substitute the coordinates of the known point into the straight line formula:

1 = -2 * k + b.

Let’s find the values of the numerical coefficients k and b.

The parallelism of straight lines can be determined analytically – if the slopes in the equation of straight lines are equal, then the straight lines are parallel. k1 = k2 = k = 1/4. Substitute the resulting value for k:

1 = -2 * 1/4 + b;

b = 3/2.

y = 1/4 * x + 3/2 – the equation of our line.