What is the equation of this line in standard form? 6x−7y=−11

6x−5y=−13

6x−7y=11

7x−6y=11
Number graph ranging from negative five to five on the x and y axes. A line is drawn on the graph that passes through the labeled points begin ordered pair negative three comma negative one end ordered pair and begin ordered pair one-half comma two end ordered pair

Option B 6x-7y = -11 is correct

Step-by-step explanation:

We need to write the equation of the given line in standard form.

The points are (1/2,2) and (3,1)

The equation used is:

where m is the slope.

Finding slope :

x₁= 1/2, y₁=2, x₂=-3, y₂=-1

Putting values:

Now taking point (1/2,2) and slope m = 6/7 finding equation:

So, Option B 6x-7y=-11 is correct

Keywords: Standard form of the equation

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-1/2 +2

step-by-step explanation: