Question

Given the equation y- 4 = 3/4 (x+8) in point slope form, identify the equation of the same line in standard form?

Answer 1

`\begin{gathered} y-4=(3)/(4)(x+8) \\ y-4=(3)/(4)(x)+(3)/(4)(8) \\ y-4=(3x)/(4)+(24)/(4) \\ y-4=(3x)/(4)+6 \\ -(3x)/(4)+y=6+4 \\ -(3x)/(4)+y=10,\text{ Convert }x\text{ to positive by multiplying all terms by -1} \\ (3x)/(4)-y=-10,\text{ multiply all terms by 4, to get rid of the fraction} \\ 3x-4y=-40 \\ \text{The standard form is }3x-4y=-40 \end{gathered}`