Question

write an equation in standard form for the line which contains (2,6)and (1,2)

Answer 1

Answer:

Ax + By = C

As you can see, the x and y terms are on the same side of the equation. Also required is that the A and B are whole numbers. My high school teacher also taught that the x term should be positive.

So, we’ll achieve all three:

First, find the slope of the line containing the given points: (y2-y1)/(x2-x1) for (1, -2), (4,6):

(6- -2)/(4- 1) = 8/3 = m

use that slope and either point (I use (4, 6)) in either point slope or slope intercept equation.

I use point slope:

y - 6 = (8/3)(x - 4)

y - 6 = (8/3)x - (32/3)

clear fractions by multiplying by the lcd of 3:

3y - 18 = 8x - 32

subtract 3y from both sides, add 32 to both sides.

result:

8x-3y = 14. Standard form of the equation, which fulfills all three criteria I set out above.

Step-by-step explanation:

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