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 \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

`y=7x-15`

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*3=21`

`21-21=0`

`6-21=-15`

`b=-15`

`y=7x-15`

Hope this helps.