Question

A line passes through the point (3,6) and has a slope of 7. Write an equation in point-slope form for this line.​

Answer 1

$(\stackrel{x_1}{3}~,~\stackrel{y_1}{6})\qquad \qquad \stackrel{slope}{m}\implies 7 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{6}=\stackrel{m}{7}(x-\stackrel{x_1}{3})$

Answer 2

Answer:

$y=7x-15$

Step-by-step explanation:

Given the following question:

Point A = (3, 6) = (x1, y1)
m (slope) = 7

We will find the equation of this line by finding the slope intercept.

$y=mx+b$
$y=6$
$m=7$
$x=3$
$6=7(3)+b$
$7\times3=21$
$21-21=0$
$6-21=-15$
$b=-15$
$y=7x-15$

Hope this helps.