Given the following linear function sketch the graph the following equation in slope intercept form 3x - 2y = 5

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."

x > 1.3

step by step:

8.5−0.9x> 9.8−1.9x

step 1: simplify both sides of the inequality.

−0.9x+8.5> −1.9x+9.8

step 2: add 1.9x to both sides.

−0.9x+8.5+1.9x> −1.9x+9.8+1.9x

1x+8.5> 9.8

step 3: subtract 8.5 from both sides.

1x+8.5−8.5> 9.8−8.5

1x> 1.3

step 4: divide both sides by 1.

1x/1 > 1.3/1