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Sagot :
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
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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