2 points, diagonal line equation on a graph

2 points, diagonal line equation on a graph

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

Good night!

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

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

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

Hope to have helped!

Baltuilhe

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