Answer:
y = 3/2x - 5/2
Step-by-step explanation:
Hi, you would first start by writing the equation is slope intercept form. (y=mx+b)
3x - 2y = 5
You need the get the y by itself, by subtracting the 3x and moving it to the right side of the equation. (Keep the y value as a negative.)
- 2y = -3x + 5
Then to get the -2 away from the y, you need to divide it on both sides, making your final equation: y = 3/2x - 5/2
The - is dropped from the slope because a negative multiplied by a negative equals a positive. You may leave b as a fraction in the equation if it doesn't divide evenly or to avoid decimals.
Now, to graph, you need to plot your first point, b. 5 divided by 2 is 2.5.
(0, -2.5)
Use the rise over run method to plot the remaining points.
Some find it easier to start from the point on the y axis, b, and use the slope to count, "up 3 and over 2."