Use the formula to define a linear function whose graph is parallel to the line y = 2x – 3

| August 12, 2021 | education

Use the formula to define a linear function whose graph is parallel to the line y = 2x – 3 and intersects with the graph y = x – 3 at a point on the ordinate.

To set the formula for a linear function means to find the coefficients k and b of the general feed of the formula y = kx + b. Since the graph of the desired function is parallel to the straight line y = 2x – 3, then the slopes of the desired and this function are the same, which means k = 2.

Since the graph of the desired function intersects with the graph y = x – 3, then you can write the equation:

2x + b = x – 3.

And since the intersection point lies on the ordinate axis, then its coordinate is x = 0. Substituting this value into the equation, we get:

2 * 0 + b = 0 – 3

b = -3.

Therefore, the formula of the required function has the form: y = 2x – 3.



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