Question

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​

Answer 1

`▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪`

The Correct option is ~ B

`\boxed{ \boxed{y = 2x - 3}}`

`\large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}`

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

• 
  `\mathrm{ (y2 - y1)/(x2 - x1) }`

• 
  `(1 - ( - 3))/(2 - 0)`

• 
  `(4)/(2)`

• 
  `2`

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 ~

• 
  `\boxed{y = mx + c}`

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 ~

• 
  `y = 2x - 3`