Join IDNLearn.com to access a wealth of knowledge and get your questions answered by experts. Find in-depth and trustworthy answers to all your questions from our experienced community members.
Sagot :
Answer:
[tex] \boxed{\rm \: Slope(m)= \cfrac{4}{ 3} }[/tex]
OR
[tex] \boxed{\rm \: Slope(m) \approx \: 1.30} \rm \: (nearest \: tenth)[/tex]
Step-by-step explanation:
Given two coordinates:
- (-4, -1) and (-1, 3)
To Find:
- The slope of given two coordinates
Solution:
In this case,we'll need to use the slope's formula,to get the slope.
Here's the formula:
[tex] \rm \: Slope(m)= \: \cfrac{ y_2 -y_1 }{x_2 - x_1} [/tex]
- Slope is usually denoted as m.
According to the question:
- [tex] \rm (y_2 , y _1) = (3,-1)[/tex]
- [tex]\rm (x_2 , x_1) = (-1,-4)[/tex]
Substitute them accordingly:
[tex] \rm \: Slope(m)= \cfrac{3 - ( - 1)}{ - 1 - ( - 4)} [/tex]
Simplify then, using a rule called PEMDAS.
[tex] \rm \: Slope(m)= \cfrac{3 + 1}{ - 1 +4 } [/tex]
[tex] \rm \: Slope(m)= \cfrac{4}{ 3} [/tex]
[tex] \rm \: Slope(m) \approx \: 1.30[/tex]
Hence, we can conclude that:
- The slope of a line parallel to the line that passes through (-4, -1) and (-1, 3) is 4/3 in exact form and 1.30 in approximate decimal form.
Hi student, let me help you out! :)
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
We are asked to find the slope of a line parallel to the line that passes through
[tex]\star~\mathrm{(-4,-1)}\star[/tex]
[tex]\star~\mathrm{(-1,3)}[/tex]
[tex]\triangle~\fbox{\bf{KEY:}}[/tex]
- The slope formula will help us out! :)
Here's the formula:
[tex]\star\boxed{\mathrm{\cfrac{y2-y1}{x2-x1}}}[/tex]
y2 and y1 are y-coordinates
x2 and x1 are x-coordinates
Substitute the given values:
[tex]\star\mathrm{\cfrac{3-(-1)}{-1-(-4)}}[/tex]
Simplify!
[tex]\star\mathrm{\cfrac{3+1}{-1+4}}[/tex]
Simplify more!
[tex]\star\mathrm{\cfrac{4}{3}}[/tex]
Now, what is the slope of the line parallel to this one?
Well, parallel lines have the same slope.
[tex]\star \ \mathrm{The \ slope \ of \ the \ line \ parallel \ to \ this \ one \ is \ \cfrac{4}{3}}.[/tex]
Hope it helps you out! :D
Ask in comments if any queries arise.
#StudyWithBrainly
~Just a smiley person helping fellow students :)
Thank you for being part of this discussion. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. IDNLearn.com is your reliable source for answers. We appreciate your visit and look forward to assisting you again soon.
