Q:

Will give medal !!!!Write the standard form of the line that contains a slope of 2/3 and passes through the point (1, 1). Include your work in your final answer. Type your answer in the box provided or use the upload option to submit your solution. Please explain how you got the answer.

Accepted Solution

A:
We can use the formula: y = mx + b.

Where m = 2/3 (slope) and (x,y) is (1,1)

Now substitute the values in order to find what "b" is.

1 = (2/3)*1 + b

1 = 2/3 + b

1 - 2/3 = b

1/3 = b

So the equation of the line is: y = (2/3)x + 1/3

To get it into standard form, it should be in the form Ax + By = C

So just multiply the equation by 3 to get rid of the fraction:

3y = 2x + 1

-2x + 3y = 1

Final answer:  -2x + 3y = 1