The equation of a linear function in point-slope form is y – y1 = m(x – x1). Harold correctly wrote the equation y = 3(x – 7) using a point and the slope. Which point did Harold use?

Point used by Harold was:

(7, 0)

Step-by-step explanation:

Given that

Equation of linear function used by Harold:

We know that linear equation in point slope form can be represented as:

Where are the coordinates of a given point.

is the slope of line.

Formula for Slope, m is given as:

Where and are the two points on the line.

If slope and a point with coordinates is know, the equation of a line can be represented in linear form as:

....... (1)

Now, the given equation is:

Re-writing the equation with a slight modification:

Now, comparing the above equation with equation (1):

We get that:

So, the point used by Harold is (7, 0).

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step-by-step explanation: