Find the equation of the following lines write the equation in the form ax+by=c with slope of 3 over 2 , through (-2, 1)

The standard form of the line is -3x + 2y = 8

Step-by-step explanation:

For this one, we can first put the equation in point slope form (since we have slope and a point).

y - y1 = m(x - x1)

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

Now that we have this, we can manipulate the equation to put it in standard form.

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

y - 1 = 3/2x + 3

y = 3/2x + 4

-3/2x + y = 4

-3x + 2y = 8