Question

Given the equation y − 4 = three fourths(x + 8) in point-slope form, identify the equation of the same line in standard form. (1 points) −three fourthsx + y = 10 3x − 4y = −40 y = three fourthsx + 12 y = three fourthsx + 10

Answer 1

Texaschic101 Geniusy - 4 = 3/4(x + 8)
y - 4 = 3/4x + 6
-3/4x + y = 6 + 4
-3/4x + y = 10...standard form does not contain fractions
3x - 4y = -40 <=== standard form

Answer 2

`3x-4y=-40`

Explanation:

Since, the standard form of a line is,

ax + by = c

Where, a, b and c are any real number.

Here, the given equation of the line,

`y-4=(3)/(4)(x+8)`

`4(y-4)=3(x+8)` ( cross multiplication )

`4y-16=3x+24` ( Distributive property )

`-16-24 = 3x-4y` ( Subtraction property of equality )

`\implies 3x-4y=-40`

Which is the required standard form of the given line,

Second option is correct.