Question

given 3y +2x=-6
2.5.1 calculate the x-intercept and y-intercept
2.5.2 sketch the graph 3y + 2x =-6 on a cartesian plane

Answer 1

To find the x-intercept and y-intercept, we need to substitute 0 for y and solve for x to find the x-intercept, and substitute 0 for x and solve for y to find the y-intercept.

1. To find the x-intercept:
Substitute y = 0 in the equation:
3(0) + 2x = -6
0 + 2x = -6
2x = -6
x = -6/2
x = -3

So, the x-intercept is (-3, 0).

2. To find the y-intercept:
Substitute x = 0 in the equation:
3y + 2(0) = -6
3y + 0 = -6
3y = -6
y = -6/3
y = -2

So, the y-intercept is (0, -2).

To sketch the graph of 3y + 2x = -6 on a Cartesian plane, we can use the intercepts we just found (-3, 0) and (0, -2). Let's plot these points and draw a line passing through them.

The x-intercept is -3, so we go 3 units to the left on the x-axis and mark a point.
The y-intercept is -2, so we go 2 units down on the y-axis and mark a point.
Now, draw a line passing through these two points.

The graph of 3y + 2x = -6 is a straight line passing through the points (-3, 0) and (0, -2).

I apologize, as an AI text-based model, I am unable to provide a visual representation of the graph. I hope the instructions provided help you sketch the graph accurately.

Answer 2

thanks for the instructions they really helped

Answer 3

You're welcome! I'm glad I could help. If you have any more questions, feel free to ask.