Question

Which of the following is in point-slope form? y=4x + 6 y + 3 = 8(x-8) 4x - 4y= -6 none of these

Answer 1

Three of the forms for the equation of a line are:

*Slope-intercept

$\begin{gathered} y=mx+b \\ \text{ Where} \\ m\text{ is the slope and} \\ \text{b is the y-intercept of the line} \end{gathered}$

*Standard

$ax+by=c$

*Point-slope

$\begin{gathered} y-y_1=m(x-x_1) \\ \text{ Where} \\ \text{m is the slope and} \\ (x_1,y_1)\text{ is a point through which the line passes} \end{gathered}$

Therefore, the equation of the line that is in its point-slope form is:

$\begin{gathered} y+3=8\mleft(x-8\mright) \\ \text{ Where} \\ 8\text{ is the slope and} \\ (8,-3)\text{ is a point through which the line passes} \end{gathered}$

and the correct answer is option B.