Question

How do i sketch a graph of y=2x that passes through the origin

Answer 1

Explanation:

Given

Equation of line is
`y=2x`

Equation of line with slope m and intercept c on Y-axis is

`y=mx+c`

Comparing the given line with slope-intercept form

`\Rightarrow m=2\ \text{and}\ c=0`

The slope is also equal to
`\tan \theta`

`\Rightarrow \tan \theta =2\\\Rightarrow \theta =63.43^(\circ)`

To sketch the equation of
`y=2x`

• Make a line that passes through the origin at an angle of
  `63.43^(\circ)` with the x-axis.