284,175 views
19 votes
19 votes
Find an equation of a line with a slope of 6 and having the point (3,5) on the line

Find an equation of a line with a slope of 6 and having the point (3,5) on the line-example-1
User Furyfish
by
2.8k points

1 Answer

27 votes
27 votes

Given:

The point (3,5)

The slope is 6.

To find the equation of the line:

Using the point-slope formula,


y-y_1=m(x-x_1)

Substituting the point and slope, we get


\begin{gathered} y-5=6(x-3) \\ y-5=6x-18 \\ y=6x-18+5 \\ y=6x-13 \\ y-6x+13=0 \end{gathered}

Hence, the equation of the line is,


y-6x+13=0

User Owen Nelson
by
3.2k points