Question

Directions: Graph the lines in standard form.
5. 3x + 2y = 6

Answer 1

x=2 y=3

Explanation:

3x=6

2y=6

x=2

y=3

Answer 2

The line 3x + 2y = 6 can be graphed by rewriting it in slope-intercept form:
`\(y = -(3)/(2)x + 3\)`. Plotting the y-intercept (0, 3) and another point, the line can be drawn on the graph.

To graph the line 3x + 2y = 6 in standard form, we can rewrite it in slope-intercept form y = mx + b, where m is the slope and b is the y-intercept.

First, solve for y:

`\[3x + 2y = 6\]\[2y = -3x + 6\]\[y = -(3)/(2)x + 3\]`

Now we can see that the slope m is
`\(-(3)/(2)\)` and the y-intercept b is 3.

Plot the y-intercept at (0, 3), and use the slope to find another point. For example, if you let x = 2, then
`\(y = -(3)/(2)(2) + 3 = 0\)`.

Plot these points and draw the line.