Chin was shown the graph of a line that contained point (1, 7). he wrote f(x) = 4x + 3 to correctly represent the line. which of these equations could represent the same line?

y – 7 = 3(x – 1)
y – 1 = 3(x – 7)
y – 7 = 4(x – 1)
y – 1 = 4(x – 7)

Step-by-step explanation:

we know that

The equation of the line into point slope form is equal to

we have that

The slope of the given line is

and the given point is

substitute in the equation

 the correct option is

(C)

Step-by-step explanation:  Given that Chin was shown the graph of a line that contained point (1, 7). He wrote the following equation to correctly represent the line :

We are to select the correct equation that could represent the same line.

Since we are considering the X-Y plane, so we can assume that the line can be written as the function

y = f(x).

Substituting this in equation (i), we have

Comparing the above equation with the slope-intercept form we get

slope, m = 4.

Since the line passes through the point (1, 7), so the equation of the line will be

Thus, the equation that could represent the same line is

Option (C) is CORRECT.