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)

Hence option A and C are correct

Step-by-step explanation:

By putting value of 1.7 in each of the given equations of line as options should satisfy the equation

Option A

7– 7 = 3(1– 1)

0 = 0

Option B

y – 1 = 3(x – 7)

7-1 not equal to  3 (1-7)

Option C

y – 7 = 4(x – 1)

7 - 7 = 4 (1-1)

0 = 0

Option D

y – 1 = 4(x – 7)

7-1 is not equal to 4 (1-7)

a, b, c, d are correct.

step-by-step explanation:

we have g(x) = 3 and are required to find which option is a translation of g(x).

now, 'translation' is a transformation which means to shift the function in any direction and the general form of translation is g(x) + k, where k is any real number.

so, according to the options we see that all are correct as they satisfy the general form of translation.

also, it can be seen from the graph below that the function g(x) = 3 is shifted from its position in all the four options.

y= -2x+4, have a great day