Question

given the eaquation y-4=3/4 (x+8) in the point-slope form, identify the equation of the same line in standard form.​

Answer 1

Answer:

$\large\boxed{3x-4y=-48}$

Step-by-step explanation:

The standard form of an equation of a line

$Ax+By=C$

We have the eqution in the point-slope form:

$y-4=\dfrac{3}{4}(x+8)$

Convert it to the standard form:

$y-4=\dfrac{3}{4}(x+8)$           multiply both sides by 4

$4y-16=3(x+8)$           use the distributive property

$4y-16=3x+32$          add 16 to both sides

$4y=3x+48$           subtract 3x from both sides

$-3x+4y=48$           change the signs

$3x-4y=-48$