Question

Give the equation of the line in slope intercept form y=x+ ?

Answer 1

Answer:

2

Step-by-step explanation:

just count the spaces from 0 vertically.

Answer 2

Answer:

$y = x +2$

Step-by-step explanation:

A graph of equation is given and we need to find the slope intercept form of the line . The slope intercept form is ,

$\sf \implies y = mx + c$

• m = slope
• c = y intercept

From the graph we see that it passes through (0,2) and (-2,0) . Hence slope ,

$\sf\implies m =\dfrac{y_2-y_1}{x_2-x_1} \\\\\sf\implies m = \dfrac{2-0}{0-(-2)} =\dfrac{2}{2}\\\\\sf\implies \boxed{\sf m = 1 }$

• $m = 1$
• $c = 2$

Plug in the respective values ,

$\sf\implies \boxed{\red{ y = x + 2 }}$