Question

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.

Answer 1

2x - 3y = -1

Explanation:

Standard form: Ax + By = C

Given: slope = 2/3 and passes through the point (1,1)

Point slope form: y - y1 = m(x - x1)

Plug in

y - 1 = 2/3(x - 1)

Multiply both sides by 3

3(y - 1) = 2(x -1)

Distributive property

3y - 3 = 2x - 2

Since standard form: Ax + By = C so you can re-write the equation:

2x - 2 = 3y - 3

Subtract 3y from both sides

2x - 3y = -3

Add 2 to both sides

2x - 3y = -1

Answer in standard form: 2x - 3y = -1