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daser333 [38]
3 years ago
14

Writing linear functions given a graph, I have to know the equation, slope, and y intercept anything helps!!

Mathematics
2 answers:
djyliett [7]3 years ago
7 0
Given the points on the graph, (-3,0) and (0,5), we can solve for the slope using the formula:

m = (y2 - y1)/(x2 - x1) = (5-(-3)) / (0- (-3)) = 5/3

So the slope is 5/3 (you can verify on the graph, using the rise/run concept).

The y-intercept is the value of y when x = 0. If you look at the two coordinates that I used for solving the slope, the coordinate ( 0, 5) will give you the y-intercept of 5, since its ordered pair of x value = 0.

So, y-intercept = 5.

We now have the necessary variables needed for your linear equation:

y = 5/3x + 5.

It has a positive slope, thus the line sloping upward.

Hope this helps you :)
docker41 [41]3 years ago
4 0
…I’m so sorry I can’t help but you got this
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Julian walked 6/10 of a mile to his friends house and another 35/100 mile to the store. He walked 1/4 of a mile back home. Julia
AveGali [126]

The statement, "Julian's sister said he walked 1/5 mile" cannot be agreed because Julian totally walked 1\frac{1}{5} \text{ or } \frac{6}{5} miles.

<u>Solution:</u>  

Given that,

  • Julian walked 6/10 of a mile to his friends house
  • Another 35/100 mile to the store
  • He walked 1/4 of a mile back home

To find total distance walked by Julian we have to add the above stated values. That is, \frac{6}{10} +\frac{35}{100} +\frac{1}{4}

Factors of 10 = 5\times2

Factors of 100 = 5\times2\times5\times2

Factors of 4 = 2\times2

Therefore, the least common factor of 10, 100 and 4 is 100. With like denominators we can operate on just the numerators,

\frac{6\times10}{10\times10} +\frac{35\times1}{100\times1} +\frac{1\times25}{4\times1}\rightarrow\frac{60+35+25}{100}\rightarrow\frac{120}{100}

\Rightarrow\frac{120}{100}\rightarrow\frac{6}{5}

Which can also be written as 1\frac{1}{5}.

So, from the above calculation it can be said that Julian walked 1\frac{1}{5} \text{ miles }.

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