Question

6. Write the standard form of the line: y=2/5x-7

Answer 1

The standard form of the line y = (2/5)x - 7 is 2x - 5y = 35.

Step-by-step explanation:

The standard form of a linear equation is given by Ax + By = C, where A, B, and C are constants. In the given equation y = (2/5)x - 7, we can rewrite it as (2/5)x - y = 7. To convert it into standard form, we need to clear the fraction by multiplying every term by the denominator, which in this case is 5. This gives us 5((2/5)x - y) = 5(7), which simplifies to 2x - 5y = 35. Therefore, the standard form of the line is 2x - 5y = 35.

Answer 2

The standard form for a linear equation is: ax + by + c = 0

Once we move all the variables and constants to one side, we get the standard form for a linear equation

`y = (2)/(5) x - 7\\y -(2)/(5)x = -7\\ y - (2)/(5)x + 7 = 0\\`

Hope that helps!