i need help with this

Question

Write an equation of the trendline in Slope Intercept form (y=mx+b).

(Leave your answers in reduced fraction form, NO SPACES.) (Example answers: y=2/3x+2, y=17x, y=9x+2.)

5.   6.   7.   8.  

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Answer 1

Hope this helps...

There are a few ways you can do this problem and find the equation of each straight line given.

Some of the graphs may be easier and you would just need to find the values that go into the slope-intercept form of a straight line, y = mx + b (Hint: graph #5)

You will need to calculate the slope, m and use one ordered point as your (x₁, y₁). Remember the slope, m = change in y / change in x.

Others may require a bit more effort and you will likely need to use the POINT-SLOPE formula

y - y₁ = m(x - x₁). But notice how in all the other graphs, the lines have y-intercepts because they all cross the y-axis.

I will guide you with ONE of the graphs...Let's try #5

The line crosses the y-axis at ordered point (0, 6) so you know that the y-intercept, b = 6

You can take TWO ordered points ON THE LINE and find the slope, m of the line.

The graphs are hard for me to read so I'm hoping I am picking the points correctly (confirm, ok)

It does not matter what points you use, the slope will be the same. Just work the math in the same direction for the top & bottom number.

Let's try (0,6) and (6,3)

So m = (3 - 6) / (6 - 0) = -3/6 = -1/2

You know the slope is NEGATIVE because the line is slanted downward (left to right)

That's all we need for graph #5, plug in b and m and you get.... y = -1/2x + 6

Try the other 3 on your own. You will master these kind of problems with more practice :)