2 points, diagonal line equation on a graph

2 points, diagonal line equation on a graph

Postby Guest » Sun May 17, 2020 8:49 pm

Hello,

I am trying to help my daughter write the equation for a line given 2 end points on a graph, the line does not intersect y, and is diagonal. Points are (2,30) and (24,50). May have this wrong but I have the slope as 10/11. Need some hlp getting our equation for this line with end points.

Any help would be appreciated.
Guest
 

Re: 2 points, diagonal line equation on a graph

Postby Baltuilhe » Wed May 20, 2020 10:27 pm

Good night!

Use the following:
[tex]m(x-x_0)=y-y_0[/tex]
Where m is the slope of the line.
[tex]m=\dfrac{y_1-y_0}{x_1-x_0}=\dfrac{50-30}{24-2}=\dfrac{20}{22}=\dfrac{10}{11}[/tex]

So, your slope is right!

Now:
[tex]\dfrac{10}{11}(x-2)=y-30[/tex] You could have used (24,50), too! (x0,y0) is a known point, just it!

Solving:
[tex]10(x-2)=11(y-30)\\10x-20=11y-330\\10x-20+330=11y\\10x+310=11y\\y=\dfrac{10}{11}x+\dfrac{310}{11}[/tex]

Hope to have helped!

Baltuilhe
 
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