Answered

At Westonci.ca, we connect you with the answers you need, thanks to our active and informed community. Join our Q&A platform and connect with professionals ready to provide precise answers to your questions in various areas. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

Find the slope of the line on the graph below:
Slope

Find The Slope Of The Line On The Graph Below Slope class=

Sagot :

LanceLongFei

Answer:

The slope of the line on the graph is [tex]\frac{3}{2}[/tex].

Step-by-step explanation:

The slope of a line can be found with [tex]\frac{\Delta y}{\Delta x}[/tex]. The points (3,2) and (-1,-4) lie on the line, so we can subtitute [tex]\Delta y = -4 -2 = -6[/tex] and [tex]\Delta x = -1-3 = -4[/tex] to see that the slope equals [tex]\frac{-6}{-4} = \frac{3}{2}[/tex]. This answer makes sense because the slope is going up when [tex]x[/tex] becomes larger (the slope is positive), and we travel more in the [tex]y[/tex]-direction than in the [tex]x[/tex]-direction (the slope is greater than 1).
Use the formula:
y2-y1 divided by x2-x1 aka delta y over delta x

(basically the change in y divided by the change in x)

so it would end up being:
-4 minus 3 divided by -1 minus 2

which equals 7/3 or 2.3333

We appreciate your time on our site. Don't hesitate to return whenever you have more questions or need further clarification. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.