Question

Using the equation given, where does the line cross the y-axis? y=3x-9

Answer 1

Solution:-

The equation of any straight line can be written as in slope intercept form as -

`\green{ \underline { \boxed{ \sf{y=mx+c}}}}`

where,

• m is its slope
• c is its y-intercept,that is , the y-coordinate of point where line cross the y-axis

Given equation:-

`\begin{gathered}\begin{gathered}\\\implies\quad \sf y= 3x-9 \\\end{gathered} \end{gathered}`

`\longrightarrow`Comparing the equation y = 3x -9 with the standard form of the equation, we get -

`\quad \bull\: \sf m= 3`

`\quad \bull \: \sf c= -9`

Thus, the line cross the y-axis at (0,-9) .