Question

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

Answer 1

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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)

• $\mathrm{ \dfrac{y2 - y1}{x2 - x1} }$

• $\dfrac{1 - ( - 3)}{2 - 0}$

• $\dfrac{4}{2}$

• $2$

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 ~

• $y = 2x - 3$