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6. Write the equation of the line. ​

6 Write The Equation Of The Line class=

Sagot :

charlief22

Answer:

y = x + 2

Step-by-step explanation:

As the equation of a line is in the form y = mx + c:

Step 1 - Calculate the y intercept

This can be done by looking at the y coordinate where x = 0:

y = mx + c

In the picture, the y intercept is 2 so:

y = mx + 2

Step 2 - Calculate the slope

This can be calculated by:

[tex]\frac{\text{change in y}}{\text{change in x}}[/tex]

Get two sets of coordinates:

(0, 2) and (2, 4)

Calculate the changes by subtracting from one another:

[tex]\frac{4 - 2}{2 - 0} \\\frac{2}{2}\\=1[/tex]

So the gradient is 1, meaning the equation of the line is:

[tex]y = 1x + 2 \\\text{or}\\y = x + 2[/tex]

Hope this helps!

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