How do you find the distance between two points on a coordinate grid?
Make a right triangle
Draw a vertical and horizontal line to find side lengths
Use Pythagorean theorem to solve for third side
How can we find slope?
Rise over run
Count how many boxes up or down and divide by how many boxes left or right to go, to get from one point to the other
The slope of parallel lines are _________.
Equal!
The slope of perpendicular lines are ____________ ______________.
Opposite Reciprocals!
What is a perpendicular bisector?
a line that bisects another line segment at a right angle, through the intersection point.
5
What type of slopes are these?
Positive Slope
Negative Slope
Are these line parallel to each other, given their equations below:
Y=1/3x-2
Y=1/3x+3
Yes!
Are these line perpendicular to each other, given their equations below:
Y=1/2x+4
y=-1/2x-3
No!
What is the midpoint formula?
Midpoint = (x1+x2 / 2, y1+y2 /2)
Find the distance between point A and point B. Round your answer to the nearest tenths place.
8.6
What type of slopes are these?
Undefined Slope
Zero Slope
Are these lines parallel to each other, given their equations below:
Y=-3/5x+1
3x-5y=35
No!!
Are these line perpendicular to each other, given their equations below:
Y=6/5x-4/5
6y+18=-5x
Yes!
Find an equation for the perpendicular bisector of the line segment whose endpoints are (-1, -1) and (5, -5).
Y=3/2x-6
What is the length of segment AB. Express your answer in simplest radical form.
2 square root 13
What is the slope of the segment?
-5/3
What is the equation of the line that passes through the point (-1,9) and is parallel to the line whose equation is y=-4x-7?
Y=-4x+5
What is the equation of the line that passes through the point (-6,5) and is perpendicular to the line
y=3x-5?
Y=-1/3x+3
Y=2x+9
Find the side length of each side of triangle ABC. Round your answer to the nearest tenths place when necessary.
AB: 5.7
BC: 6.6
CA: 6.1
Find the slope of each side of triangle ABC using the coordinate grid.
AB: 1
BC:-3/2
CA: 1/6
What is the equation of the line that passes through the point (-4,-1) and is parallel to the line whose equation is 2x-y+6?
Y=2x+7
Find the equation of the line passing through the point (6,-5) and perpendicular to the line whose equation is 2y+3x=6.
Y=2/3x-9
Choice 4