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Drupady [299]
2 years ago
8

Find the following equation

Mathematics
1 answer:
adoni [48]2 years ago
3 0

Answer:

y=\frac{-1}{2}x+7

Step-by-step explanation:

Slope intercept form: y=mx+b when m is the slope of the line and b is the y-intercept (the y-coordinate of the point the line crosses the y-axis)

<u>1) Find the slope (</u>m<u>)</u>

m=\frac{y_2-y_1}{x_2-x_1} when the points are (x_1,y_1) and (x_2,y_2)

We can use any two points that the table gives us to plug into this equation. For example, we can use the points (14,0) and (0,7):

m=\frac{0-7}{14-0}\\m=\frac{-7}{14}

Simplify the fraction

m=\frac{-1}{2}

So far, our equation looks like this:

y=\frac{-1}{2}x+b

<u>2) Find the y-intercept (</u>b<u>)</u>

The y-intercept is the y-coordinate of the point the line crosses the y-axis, or in other words, it's the value of y when x is equal to 0.

Looking at the table, we can see that y is equal to 7 when x is equal to 0, so, therefore, b=7.

Now, this is our final equation after plugging in m and b:

y=\frac{-1}{2}x+7

I hope this helps!

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