Question

Write this in standard form y+4= 1.5(x+2)

Answer 1

To convert the given equation y + 4 = 1.5(x + 2) to standard form, distribute the 1.5, rearrange terms and multiply by -1 to get the final standard form equation 1.5x - y = 1.

Step-by-step explanation:

To write the given equation y + 4 = 1.5(x + 2) in standard form, we want to express it in the form Ax + By = C, where A, B, and C are constants. First, we distribute the 1.5 across the (x + 2):

y + 4 = 1.5x + 3.

Now, we subtract 4 from both sides to isolate y on the left side:

y = 1.5x - 1.

To get it into standard form, we subtract 1.5x from both sides:

-1.5x + y = -1.

This is now in standard form, and we typically want the x coefficient to be positive. Therefore, we can multiply the entire equation by -1:

1.5x - y = 1

The standard form equation

Answer 2

y+4=1.5(x+2)
y+4=1.5x+3
y=1.5x+3-4
y=1.5x-1

or y=(3/2)x-1