Answer:
Step-by-step explanation:
The slope-intercept form of an equation of a line:
y = mx + b
m - slope
b - y-intercept
We have the slope m = 2 and the y-intercept b = 0. Substitute:
y = 2x + 0 = 2x
Answer: The correct option is (C) [tex]y=2x.[/tex]
Step-by-step explanation: We are given that the slope of a line is 2 and the y-intercept is 0.
We are to find the equation of the line written in the slope-intercept form.
The equation of a line in slope-intercept form is given by
[tex]y=mx+c,[/tex] where m is the slope and c is the y-intercept of the line.
For the given line, we have
slope, m = 2 and y-intercept, c = 0.
Therefore, the equation of the line in slope-intercept form will be
[tex]y=mx+c\\\\\Rightarrow y=2\times x+0\\\\\Rightarrow y=2x.[/tex]
Thus, the required equation of the line in slope-intercept form is [tex]y=2x.[/tex]
Option (C) is CORRECT.
