Discover new perspectives and gain insights with IDNLearn.com's diverse answers. Get accurate answers to your questions from our community of experts who are always ready to provide timely and relevant solutions.
Sagot :
Absolutely! Let's find the slope of the line that passes through the points [tex]\((-4, 6)\)[/tex] and [tex]\((-3, -1)\)[/tex].
The formula to calculate the slope [tex]\( m \)[/tex] of a line passing through two points [tex]\((x_1, y_1)\)[/tex] and [tex]\((x_2, y_2)\)[/tex] is:
[tex]\[ m = \frac{y_2 - y_1}{x_2 - x_1} \][/tex]
Given the points [tex]\((-4, 6)\)[/tex] and [tex]\((-3, -1)\)[/tex], let's assign:
- [tex]\( x_1 = -4 \)[/tex]
- [tex]\( y_1 = 6 \)[/tex]
- [tex]\( x_2 = -3 \)[/tex]
- [tex]\( y_2 = -1 \)[/tex]
Substitute these values into the slope formula:
[tex]\[ m = \frac{-1 - 6}{-3 - (-4)} \][/tex]
Now, simplify the numerator and the denominator:
[tex]\[ m = \frac{-1 - 6}{-3 + 4} \][/tex]
[tex]\[ m = \frac{-7}{1} \][/tex]
So, the slope [tex]\( m \)[/tex] of the line through the points [tex]\((-4, 6)\)[/tex] and [tex]\((-3, -1)\)[/tex] is:
[tex]\[ m = -7 \][/tex]
Therefore, the correct answer is:
[tex]\[ -\frac{7}{1} \][/tex]
The formula to calculate the slope [tex]\( m \)[/tex] of a line passing through two points [tex]\((x_1, y_1)\)[/tex] and [tex]\((x_2, y_2)\)[/tex] is:
[tex]\[ m = \frac{y_2 - y_1}{x_2 - x_1} \][/tex]
Given the points [tex]\((-4, 6)\)[/tex] and [tex]\((-3, -1)\)[/tex], let's assign:
- [tex]\( x_1 = -4 \)[/tex]
- [tex]\( y_1 = 6 \)[/tex]
- [tex]\( x_2 = -3 \)[/tex]
- [tex]\( y_2 = -1 \)[/tex]
Substitute these values into the slope formula:
[tex]\[ m = \frac{-1 - 6}{-3 - (-4)} \][/tex]
Now, simplify the numerator and the denominator:
[tex]\[ m = \frac{-1 - 6}{-3 + 4} \][/tex]
[tex]\[ m = \frac{-7}{1} \][/tex]
So, the slope [tex]\( m \)[/tex] of the line through the points [tex]\((-4, 6)\)[/tex] and [tex]\((-3, -1)\)[/tex] is:
[tex]\[ m = -7 \][/tex]
Therefore, the correct answer is:
[tex]\[ -\frac{7}{1} \][/tex]
We value your presence here. Keep sharing knowledge and helping others find the answers they need. This community is the perfect place to learn together. Thank you for choosing IDNLearn.com for your queries. We’re committed to providing accurate answers, so visit us again soon.