Which of the following is an equation of the line in the xy-plane that has slope 2 and passes through the point (0, 3) ?

The correct answer is: y = 2x + 3

Hints:
The concept used in this question is the concept of lines.
Equation of line is given by y = mx + c
Where y is y-coordinate, x is x-coordinate and c is the y-intercept (the point at which the line crosses the y -axis).
The slope of the line is the angle it makes with the x-axis i. e θ
The slope of line m is tan θ.
Step by step explanation:
Given:

1. The line lies in the xy plane.
2. The line has a slope of 2, i. e m = 2
3. The line passes through the point (0, 3)

Step 1:
We know that the general equation of line lies in xy plane is given by,
y = mx + c,
where m is the slope of the line or gradient.
So, according to the given information,
The slope of the line is 2,
∴ m = 2.
Step 2:
Also,
Line passes though point (0, 3)
Therefore, point (0, 3) satisfy equation of line,
∴ y = mx + c
⇒ 3 = 2 × 0 + c
⇒ 3 = c
∴ y-intercept is 3.
Step 3:
Now, put the value of m and c in equation y = mx + c, we will get required equation of line.
⇒ y = 2x + 3
Hence, the equation of required line is y = 2x + 3.