given the eaquation y-4=3/4 (x+8) in the point-slope form, identify the equation of the same line in standard form.
Accepted Solution
A:
Answer:[tex]\large\boxed{3x-4y=-48}[/tex]Step-by-step explanation:The standard form of an equation of a line[tex]Ax+By=C[/tex]We have the eqution in the point-slope form:[tex]y-4=\dfrac{3}{4}(x+8)[/tex]Convert it to the standard form:[tex]y-4=\dfrac{3}{4}(x+8)[/tex] multiply both sides by 4[tex]4y-16=3(x+8)[/tex] use the distributive property[tex]4y-16=3x+32[/tex] add 16 to both sides[tex]4y=3x+48[/tex] subtract 3x from both sides[tex]-3x+4y=48[/tex] change the signs[tex]3x-4y=-48[/tex]