Equations Of Lines

Question 0

What is the equation for finding the slope?

Answer 0

y2-y1/x2-x1

Question 1

What is the equation for finding a midpoint?

Answer 1

[(x1+x2)/2,(y1+y2)/2]

Question 2

What is the equation(s) for finding the length of a line?

Answer 2

(x1-x2)2+(y1-y2)2=c2, l=✔️(x1-x2)2+(y1-y2)2

Question 3

How do you find the equation for a median from a vertex to a line segment?

Answer 3

Find the midpoint, find the slope of the vertex to midpoint, find the y intercept and input into formula.

Question 4

How do you find the equation of a right/perpendicular bisector of a line segment?

Answer 4

Find the midpoint, find the slope of the line segment and make it negative reciprocal, find the y intercept and input into formula.

Question 5

What is the equation of a line?

Answer 5

Y=mx+b

Question 6

What is the equation of a circle?

Answer 6

(Always centred at origin) so x2+y2=r2

Question 7

How do you solve for a triangle?

Answer 7

Find the lengths / slopes of each side. Right angles solve for negative reciprocals or a2+b2=c2.

Question 8

How do you solve for a rectangle/square?

Answer 8

Find the lengths/slopes of each side.

Question 9

How do you solve for a parallelogram/rhombus?

Answer 9

Find the slopes of the sides (and the lengths of the sides if it is a rhombus)

Question 10

How do you find the altitude of a triangle?

Answer 10

Find slope of the line perpendicular to the median, find the slope of the median, use slope and point A to find equation of median, find equation of the perpendicular line from median, used the 2 equations to solve (subst. or elimn.), and find the length.