Question

Which of the following graph represents the equation y-2=3(x-1)​

Answer 1

Answer with explanation:

To draw the graph of linear equation of the form

  y-a=m (x-b)

We will first write it in slope intercept form which is of the form

   $\frac{x}{a}+\frac{y}{b}=1\\\\\rightarrow y-2=3 \times (x-1)\\\\\rightarrow y-2=3 x-3\\\\\rightarrow 3 x-y=3-2\\\\\rightarrow 3 x-y=1\\\\\rightarrow \frac{x}{\frac{1}{3}}+\frac{y}{-1}=1$

It will cut x axis and y axis at , $(\frac{1}{3},0) \text{and} (0,1)$ respectively.

As Euclid postulate States that, Unique equation of line can be Determined by two points,So join these two points.And Infinite number of points lie on a line.

Graph B