Question

Draw the graph for the linear equation given below:

$y=x$

• A. The line passes through $(-1,1)$ and $m=1$.
• B. The line passes through $(0,0)$ and $m=-1$.
• C. The line passes through $(0,0)$ and $m=1$.
• D. The line passes through $(1,1)$ and $m=-1$

Answer 1

Answer: (C)

The line passes through $(0,0)$ and $m=1$.

The given equation is $y=x$

Let's assign the values of $x$ and get thevalues of $y$

$x=0⟹y=0$

$x=1⟹y=1$

$x=2⟹y=2$

$x=3⟹y=3$

$x=-1⟹y=-1$

$x=-2⟹y=-2$

So, the ordered pairs of values of $(x,y)=(0,0),(1,1),(2,2),(3,3),(-1,-1),(-2,-2)$

Slope $M=\frac{2-1}{2-1}=1$ or $M=\frac{4-2}{4-2}=1$

$\therefore$ Slope is $1$ and it passes through the points $(0,0),(1,1),(2,2)$

Hence, option C is correct.