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What is the slope-intercept equation of the line below? 61 -5

A. y = -2x-3

B. y= 2x-3

C. y = –2x+ 3

D. y = 2x + 3​

What Is The Slopeintercept Equation Of The Line Below 61 5 A Y 2x3 B Y 2x3 C Y 2x 3 D Y 2x 3 class=

Sagot :

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The Correct option is ~ B

[tex] \boxed{ \boxed{y = 2x - 3}}[/tex]

[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]

Let's find the slope (m) using points (2 , 1) and (0 , -3)

  • [tex] \mathrm{ \dfrac{y2 - y1}{x2 - x1} }[/tex]

  • [tex] \dfrac{1 - ( - 3)}{2 - 0} [/tex]

  • [tex] \dfrac{4}{2} [/tex]

  • [tex]2[/tex]

hence, slope = 2

now, by Observing the given graph we can infer that the given line cuts the y - axis at point (0 , -3), so value of y - intercept (c) = - 3

[ y - coordinate of a point when x - coordinate is equal to 0 is the value of y - intercept of a line ]

And, we know the general equation of line in slope - intercept form is ~

  • [tex] \boxed{y = mx + c}[/tex]

now, let's plug the value of slope (m) and y - intercept (c) in the general equation to find the equation of line in slope intercept form ~

  • [tex]y = 2x - 3[/tex]

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