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Find the equation of the line passing
through the points (4, 2) and (6, 10).
y=[?]x+[ ]

Find The Equation Of The Line Passing Through The Points 4 2 And 6 10 Yx class=

Sagot :

To find the equation, first use the slope formula.

The slope formula is:

Second y coordinate minus first y coordinate, divided by second x coordinate minus second x coordinate

In your problem, the equation for finding the slope would be 10-4/6-2.

Simplify that and you get 3/2. So, your slope is 3/2.

Now you need to find the “b” or the y-intercept. Plug one of the coordinates into the equation y=Mx+b.

Let’s use the first coordinate you gave.

4 is the x coordinate, 2 is the y coordinate. M will be 3/4 because that’s the slope we found. So, the equation will be 4=3/4(2)+b. Now solve for b. B will equal -2.5.

Now put everything together. Y=3/4x-2.5

Hope that helped :)
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