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BartSMP [9]
3 years ago
15

Use the graph to write a linear function that relates y to x.

Mathematics
1 answer:
sergeinik [125]3 years ago
3 0
The basic structure of a linear function is y=mx+b (or +c, depending on your schools curriculum)

We need to find the slope (m), and the y-intercept (b/c)

To find the slope you can pick two random points, say (2,2) and (0,1)

The formula for the slope is this: m= y1-y2 / x1-x2

So if we substitute the points in, we get 2-1 / 2-0 = 1/2

Knowing the slope, it can be substituted into to the equation: y=1/2x + b

Then, if you notice the second point- (0,1), it’s the y-intercept. The y coordinate there is 1.

To check if this is correct, a random coordinate set can be picked and substituted in to find b.

y= 1/2x + b
2 = 1/2 *2 + b
2 = 1 + b
2-1=b
1=b

Therefore, the final linear function is y = 1/2 x + 1
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Write the equation of the line parallel to Y equals 2/3X +1 through the point (0,-4)  use slope intercept form
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Writing the slope-intercept form of a linear equation, we have:

y=mx+b

Where m is the slope and b is the y-intercept.

Since parallel lines have the same slope, we can see that the slope of the line y = 2/3x + 1 is equal m = 2/3, so for our equation we also have m = 2/3.

Now, using the point (0, -4), we have:

\begin{gathered} y=\frac{2}{3}x+b \\ (0,-4)\colon \\ -4=\frac{2}{3}\cdot0+b \\ b+0=-4 \\ b=-4 \end{gathered}

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3 years ago
1.4 – 5.5 – 1.73 + 1.8 – 1.09<br><br> –5.12<br> –8.72<br> 5.12<br> –1.66
Novay_Z [31]
<span>We'll do two by two,
1.4 – 5.5= -4.1
</span><span>– 1.73 + 1.8= 0.07
Leaving </span><span>– 1.09,

You get </span> 
=-4.1+<span> 0.07- 1.09
=-4.03-1.09
=-5.12</span>
7 0
2 years ago
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