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

Give The Equation Of The Line In Slope Intercept Form Yx class=

Sagot :

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Answer:

[tex] y = x +2[/tex]

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 ,

[tex]\sf \implies y = mx + c [/tex]

  • m = slope
  • c = y intercept

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

[tex]\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 }[/tex]

  • [tex] m = 1 [/tex]
  • [tex] c = 2 [/tex]

Plug in the respective values ,

[tex]\sf\implies \boxed{\red{ y = x + 2 }}[/tex]

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