I researched this on Khan University. You are correct. This is the
standard format the instructor is looking for. The format David and I used is called
slope-intercept. You also used the point-slope format.

I never knew there were so many names for the equal but different concepts.

Thank you so very much it's a shame I get it more now than i do in class but unfortunately it says that this is the wrong answer the answer choices are

1. 6x + y = 7
2.1/2x − y = 24
3. 2x − y = 7
4.1/2x + y = 8
5. y =1/2x + 7
6. 2x + y = 6

After reading Nataliya's answer I think that is important that you know that y = mx + b for a linear equation where m is the slope and b is the y-intercept will give you y = 1/2x -7 that both Vivian and I got for an answer for the point (6, -4) on that line with a given slope of 1/2. Since each element of an equation can be multiplied or divided by the same number and still be an equivalent equation Nataliya multiplying each element -2 to get 2y = x - 14 and then rearranging to x - 2y = 14 to get it into standard format works well.

I would like to add one more thing to Nataliya D.'s solution.

She multiplies both sides by -2. As she initially explains, "The Standard Form for a linear equation is Ax + By = C (A ≥ 0)". To render A equal or greater than zero, she performed this task.

## Comments

standard formatthe instructor is looking for. The format David and I used is calledslope-intercept. You also used thepoint-slope format.