Question

Graph the line for y+2=3/2(x+4) on the coordinate plane.

Answer 1

Here is the graph!!!!!!!!!!

Answer 2

Your graph should represent the line
`\(y = (3)/(2)x + 4\)`.

To graph the line given by the equation
`\(y + 2 = (3)/(2)(x + 4)\)`, we can rearrange it into the slope-intercept form
`\(y = mx + b\)`, where m is the slope and b is the y-intercept.

1. Start with the given equation:

`\[ y + 2 = (3)/(2)(x + 4) \]`

2. Distribute
`\((3)/(2)\)` on the right side:

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

3. Subtract 2 from both sides to isolate \(y\):

`\[ y = (3)/(2)x + 4 \]`

Now, you can identify the slope
`(\((3)/(2)\))` and the y-intercept (4).

To graph the line

1. Plot the y-intercept at (0, 4).

2. Use the slope to find another point. Since the slope is \(\frac{3}{2}\), you can move up 3 units and to the right 2 units from the y-intercept. This gives you the point (2, 7).

3. Draw a line through these two points.

Your graph should represent the line \(y = \frac{3}{2}x + 4\).