Question

3. One of the graphs represents

3x +2y <-6
3x + 4y > -12


Where would u shade on a graph?

Answer 1

3x-2y=6

Explanation:

Subtract 3x from both sides of the equation

Divide each term by −2 and simplify.

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

Rewrite in slope-intercept form

y=
`(3)/(2) *-3`

Use the slope-intercept form to find the slope and y-intercept.

Find the values of m and b using the form y=mx+b

`m=(3)/(2)`

`b=-3`

The slope of the line is the value of m, and the y-intercept is the value of b.

Slope:
`(3)/(2)`

y-intercept: -3

Any line can be graphed using two points. Select two x values, and plug them into the equation to find the corresponding y values.

Choose 0 to substitute in for x to find the ordered pair.

(0,−3)

Choose 1 to substitute in for x to find the ordered pair.

`(1,-(3)/(2) )`

Graph the line using the slope and the y-intercept, or the points.

slope:
`(3)/(2)`

y-intercept:-3