Discover a wealth of information and get your questions answered on IDNLearn.com. Find the answers you need quickly and accurately with help from our knowledgeable and experienced experts.

What is the equation of the line in point slope form that passes through the point (2,2) and has a slope of 1/5

Sagot :

Answer:

[tex]y-2=\frac{1}{5} (x-2)[/tex]

Step-by-step explanation:

Point slope form is [tex]y-y_{1} =m(x-x_{1} )[/tex]

[tex]m[/tex] is slope

[tex]x_{1}[/tex] is the x value of one of the points that the line passes through

[tex]y_{1}[/tex] is the y value of one of the points that the line passes through

So given this we know the slope or "m" is [tex]\frac{1}{5}[/tex]

And since the line passes through (2,2) the y value is 2 and the x value is 2

So, [tex]x_{1} =2[/tex] and [tex]y_{1} =2[/tex]

Now we just fill in the values we know

[tex]y-2=\frac{1}{5} (x-2)[/tex]

This is the point slope form

Your participation means a lot to us. Keep sharing information and solutions. This community grows thanks to the amazing contributions from members like you. Your questions find clarity at IDNLearn.com. Thanks for stopping by, and come back for more dependable solutions.