Question

Question what is the equation of this line in standard form? responses 8x−9y=23 8 x minus9 y equals 23 9x−8y=23 9 x minus 8 y equals 23 8x−9y=−23 8 x minus 9 y equals negative 23 8x−7y=−25 8 x minus 7 y equals negative 25

Answer 1

The equation of the given line y = 9 + 3x in standard form is 3x - y = -9, after rearranging the equation and ensuring that the x coefficient is positive.

Step-by-step explanation:

To find the equation of the given line y = 9 + 3x in standard form, we need to rearrange the equation so that it takes the form Ax + By = C, where A, B, and C are integers, and A is non-negative. The given equation has the y-intercept (b term) set equal to 9 and the slope (m term) equal to 3 as per the information provided.

Starting with the given equation:

y = 9 + 3x

Subtract 3x from both sides to move the x term to the left:

-3x + y = 9

However, the standard form typically requires a positive coefficient for x, so we multiply the entire equation by -1 to satisfy this condition:

3x - y = -9

Now, the equation of the line in standard form is 3x - y = -9.