Answered

Discover the answers you need at Westonci.ca, a dynamic Q&A platform where knowledge is shared freely by a community of experts. Experience the ease of finding accurate answers to your questions from a knowledgeable community of professionals. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

Taryn conducted a science experiment on saturation. She added sugar to sugar water solution at different intervals. The graph shows how much sugar was in
the solution at different times

Complete the equation that represents tarns situation

Y=_________x+__________

Points on the graph
(0,1) and (12,7)
Please help


Sagot :

Equation of a line:
[tex]y=mx+c[/tex]

m = gradient: The difference between two y points and two x points.
[tex]m= \frac{\Delta y}{\Delta x} [/tex]

c = y-intercept: Where the line crosses the y-axis (x=0)

You have:
[tex]y=\textunderscore\textunderscore \ x + \textunderscore[/tex]
so you are missing the m and the c.

To calculate m find two y coordinates -you have (12, 7) and (0, 1)- and subtract them. Then divide this by the subtracted values of the x coordinates -you have (12, 7) and (0, 1)- This gives:

[tex]m= \frac{7-1}{12-0} [/tex]
[tex]m= \frac{6}{12} [/tex]
[tex]m=0.5[/tex]

To calculate the c, you just see where the line crosses the y-axis. Because you have the point (0, 1), you know that when x=0, y=1. Because x=0 is on the y-axis, you can tell that the line passes through y=1. This makes your c = 1:

[tex]c=1[/tex]

When you plug these values into the equation you get your answer:

[tex]y=0.5x+1[/tex]