What is the slope of this line?

A. 2/3
B. −1/3
C. 1/3
D. −2/3

Number graph ranging from negative 10 to 10 on both the x and y axis. A line passes through the point begin ordered pair 0 comma negative 3 end ordered pair and the point begin ordered pair 6 comma 1 end ordered pair. https://static.k12.com/nextgen_media/assets/1025088-Alg1CR_M4L1_Quiz_Q10.gif

Respuesta :

if you notice in the graph, you can pick any two points to get the slope of it, hmm let's say we use 0, -3 and 6,1, which are there in the picture,

[tex]\bf \begin{array}{ccccccccc} &&x_1&&y_1&&x_2&&y_2\\ % (a,b) &&(~ 0 &,& -3~) % (c,d) &&(~ 6 &,& 1~) \end{array} \\\\\\ % slope = m slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{1-(-3)}{6-0}\implies \cfrac{1+3}{6-0}\implies \cfrac{4}{6}\implies \cfrac{2}{3}[/tex]
if i am reading what you wrote correctly then you are asking for the slope of the line that passes through coordinate points (0/-3),(6,1) 

so slope is defined by m=y2-y1/x2-x1 therefore we have;

(1-(-3))/(6-0)=4/6=2/3 

so the answer to your question is the slope =2/3

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