Westonci.ca is your trusted source for finding answers to a wide range of questions, backed by a knowledgeable community. Connect with professionals on our platform to receive accurate answers to your questions quickly and efficiently. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.
Sagot :
To plot the points on the line [tex]\( y = 3x - 2 \)[/tex] that correspond with [tex]\( x = -2 \)[/tex], [tex]\( x = 0 \)[/tex], and [tex]\( x = 2 \)[/tex], follow these steps:
1. Determine the y-value for [tex]\( x = -2 \)[/tex]:
- Substitute [tex]\( x = -2 \)[/tex] into the equation [tex]\( y = 3x - 2 \)[/tex].
- [tex]\( y = 3(-2) - 2 \)[/tex]
- [tex]\( y = -6 - 2 \)[/tex]
- [tex]\( y = -8 \)[/tex]
- So, the point is [tex]\((-2, -8)\)[/tex].
2. Determine the y-value for [tex]\( x = 0 \)[/tex]:
- Substitute [tex]\( x = 0 \)[/tex] into the equation [tex]\( y = 3x - 2 \)[/tex].
- [tex]\( y = 3(0) - 2 \)[/tex]
- [tex]\( y = 0 - 2 \)[/tex]
- [tex]\( y = -2 \)[/tex]
- So, the point is [tex]\((0, -2)\)[/tex].
3. Determine the y-value for [tex]\( x = 2 \)[/tex]:
- Substitute [tex]\( x = 2 \)[/tex] into the equation [tex]\( y = 3x - 2 \)[/tex].
- [tex]\( y = 3(2) - 2 \)[/tex]
- [tex]\( y = 6 - 2 \)[/tex]
- [tex]\( y = 4 \)[/tex]
- So, the point is [tex]\((2, 4)\)[/tex].
Now, you have the three points:
- [tex]\((-2, -8)\)[/tex]
- [tex]\((0, -2)\)[/tex]
- [tex]\((2, 4)\)[/tex]
Plotting the Points:
1. Plot [tex]\((-2, -8)\)[/tex]:
- Find [tex]\(-2\)[/tex] on the x-axis.
- Move down to [tex]\(-8\)[/tex] on the y-axis.
- Place a point at [tex]\((-2, -8)\)[/tex].
2. Plot [tex]\((0, -2)\)[/tex]:
- Find [tex]\(0\)[/tex] on the x-axis.
- Move down to [tex]\(-2\)[/tex] on the y-axis.
- Place a point at [tex]\((0, -2)\)[/tex].
3. Plot [tex]\((2, 4)\)[/tex]:
- Find [tex]\(2\)[/tex] on the x-axis.
- Move up to [tex]\(4\)[/tex] on the y-axis.
- Place a point at [tex]\((2, 4)\)[/tex].
By following these steps, you've successfully plotted the required points on the coordinate plane for the line [tex]\( y = 3x - 2 \)[/tex].
1. Determine the y-value for [tex]\( x = -2 \)[/tex]:
- Substitute [tex]\( x = -2 \)[/tex] into the equation [tex]\( y = 3x - 2 \)[/tex].
- [tex]\( y = 3(-2) - 2 \)[/tex]
- [tex]\( y = -6 - 2 \)[/tex]
- [tex]\( y = -8 \)[/tex]
- So, the point is [tex]\((-2, -8)\)[/tex].
2. Determine the y-value for [tex]\( x = 0 \)[/tex]:
- Substitute [tex]\( x = 0 \)[/tex] into the equation [tex]\( y = 3x - 2 \)[/tex].
- [tex]\( y = 3(0) - 2 \)[/tex]
- [tex]\( y = 0 - 2 \)[/tex]
- [tex]\( y = -2 \)[/tex]
- So, the point is [tex]\((0, -2)\)[/tex].
3. Determine the y-value for [tex]\( x = 2 \)[/tex]:
- Substitute [tex]\( x = 2 \)[/tex] into the equation [tex]\( y = 3x - 2 \)[/tex].
- [tex]\( y = 3(2) - 2 \)[/tex]
- [tex]\( y = 6 - 2 \)[/tex]
- [tex]\( y = 4 \)[/tex]
- So, the point is [tex]\((2, 4)\)[/tex].
Now, you have the three points:
- [tex]\((-2, -8)\)[/tex]
- [tex]\((0, -2)\)[/tex]
- [tex]\((2, 4)\)[/tex]
Plotting the Points:
1. Plot [tex]\((-2, -8)\)[/tex]:
- Find [tex]\(-2\)[/tex] on the x-axis.
- Move down to [tex]\(-8\)[/tex] on the y-axis.
- Place a point at [tex]\((-2, -8)\)[/tex].
2. Plot [tex]\((0, -2)\)[/tex]:
- Find [tex]\(0\)[/tex] on the x-axis.
- Move down to [tex]\(-2\)[/tex] on the y-axis.
- Place a point at [tex]\((0, -2)\)[/tex].
3. Plot [tex]\((2, 4)\)[/tex]:
- Find [tex]\(2\)[/tex] on the x-axis.
- Move up to [tex]\(4\)[/tex] on the y-axis.
- Place a point at [tex]\((2, 4)\)[/tex].
By following these steps, you've successfully plotted the required points on the coordinate plane for the line [tex]\( y = 3x - 2 \)[/tex].
Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Westonci.ca is your go-to source for reliable answers. Return soon for more expert insights.