Determine the standard form of the equation of the line that passes through (-2,0) and (-8,5)

Mathematics

1 answer:

lesya [120]2 years ago

4 0

Answer: 5/6x + 1y = -5/3 or 5x + 6y = -10

Step-by-step explanation:

First you need to write an equation in slope intercept form and convert it to Standard form. To write an equation in slope intercept form using the coordinates we need to find the slope and the y-intercept.

The slope is the change in y over the change in x.

0-5 = -5

-2-(-8) = 6

Slope is -5/6

Now find the y intercept using the formula y =mx + b where m is the slope and b is the y-intercept.

5 = -5/6(-8) + b

5 = 40/6 +b

-40/6 -40/6

b= -5/3

So now the equation is y= -5/6x - 5/3

So now write it in standard form as ax+by = c where x is constant.

y = -5/6x -5/3

+5/6x

5/6x + 1y = -5/3 now you can multiply it by 6 to get rid of the fractions.

5/6x(6) + y(6) = -5/3(6)

5x + 6y = -10

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