Question

The slope of a line is 2, and the y-intercept is 0. What is the equation of the line written in slope-intercept form?

y = x + 2
y = 2
y = 2x

Answer 1

y = 2x

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 2

Answer: The correct option is (C)
`y=2x.`

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

`y=mx+c,` 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

`y=mx+c\\\\\Rightarrow y=2* x+0\\\\\Rightarrow y=2x.`

Thus, the required equation of the line in slope-intercept form is
`y=2x.`

Option (C) is CORRECT.