A few days ago
x_brokenpromises

I need some help with my maths homework and finding equations…?

I have a right-angled triangle, and the longest line (top highest corner is a (0,4) and the bottom corner of the longest line is b (6,0).

I have to:

* Find the equation of the line which passes through A and B;

* Find the equation of the line which passes through (0,2) and is parallel to AB.

* Find the equation of the line which passes through the midpoint of AB and is perpendicular to AB.

If anyone can help me, i’ll be ever so grateful….

And if anyone wants a picture, please let me know and I’ll send you one via e-mail.

Top 1 Answers
A few days ago
SC mom

Favorite Answer

To find the equation of a line you need to first find the slope of the line. Use the slope formula Y2-Y1/X2-X1 this will give you the slope of the line. And you already have your Y-intercept, so the equation of the line is y=mx+b where m=slope and b= the y-coordinate of the y-intercept.

For the equation of the parallel line……..you would only need to change the y-intercept to (0,2), as the slope will be the same as in the previous equation.

For the perpendicular line…….it will have an opposite reciprocal slope (meaning flip the fraction and make it negative if it is positive, or positive if it is negative) and will pass through the midpoint of the original line.

If you acutally plot the original line on a coordinate plane graph you will clearly see the midpoint of the original line, so just draw the perpendicular line on the graph using rise/run to find the y-intercept.

Hope this helps……..I don’t want to give you the answer, but if you post your results here I will verify them for you, or tell you where you need to make changes.

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