A line in the xy-plane passes through the point (1,1) and has a slope of 1/3. Which of the following points lies on the line?

A) (0,0)
B) (4,3)
C) (6,3)
D) (7,3)

D. (7,3)

Step-by-step explanation:

Use y = mx+b to find the equation of the line.

y = 1/3x + b

plug (1,1) into the equation

1 = 1/3(1) + b

simplify

1 = 1/3 + b

subtract 1/3 from both sides

b = 2/3

now you can write your equation as

y = 1/3x+2/3

Plug in each coordinate point to the equation to see if it is on the line.

A. (0,0)

0 = 1/3(0)+2/3

simplify

0 = 2/3 —> not true

B. (4,3)

3 = 1/3(4) + 2/3

3 = 4/3 +2/3

3 = 6/3

3 = 2 —> not true

C. (6,3)

3 = 1/3(6) + 2/3

3 = 6/3 + 2/3

3 = 8/3 —> not true

D. (7,3)

3 = 1/3(7) + 2/3

3 = 7/3 + 2/3

3 = 9/3

3 = 3 —> this answer is correct

a complex number is a number that can be expressed in the form a + bi, where a and b are real numbers, and i is a solution of the equation x2 = −1. because no real number satisfies this equation, i is called an imaginary number. has no real solution, since the square of a real number cannot be negative.

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step-by-step explanation: