Question

3. One of the graphs represents
3x +2y <-6
3x + 4y > -12


Where would u shade on a graph?

Answer 1

Answer:

3x-2y=6

Step-by-step explanation:

Subtract 3x from both sides of the equation

Divide each term by −2 and simplify.

y=-3+$\frac{3x}{2}$

Rewrite in slope-intercept form

y=$\frac{3}{2} *-3$

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

$m=\frac{3}{2}$

$b=-3$

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

Slope: $\frac{3}{2}$

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.

$(1,-\frac{3}{2} )$

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

slope:$\frac{3}{2}$

y-intercept:-3