Analytic Geometry

The slope of a line is a number that measures its "steepness", usually represented by the letter m and also known as the gradient of a line.

to find the slope of a line you would have to plot the two points first and than use y2-y1 over x2-x1 to find the slope.

a line segment is a part of a line that is bounded by two distinct end points, and contains every point on the line between its endpoints. A closed line segment includes both endpoints, while an open line segment excludes both endpoints; a half-open line segment includes exactly one of the endpoints.

coordinate plane is a two-dimensional number line where the vertical line is called the y-axis and the horizontal is called the x-axis. These lines are perpendicular and intersect at their zero points. This point is called the origin. The axes divide the plane into four quadrants.

A point in a coordinate plane is named by the order of (x,y) . The first number will be from the x-coordinate and the second number will be from the y-coordinate.

The y-intercept of a line is the value of y at the point where the line crosses the y axis.

The equation of a straight line is y=mx+b

What does this equations mean?

y= How far up
x= How far along
m= Slope or Gradient (how steep the line is)
b= Value of y when x=0

How would you find "m" and 'b"?

m - Change in y over change in x
b - Look at where the line crosses the Y axis

Slope-intercept form:
y=mx+b
Standard Form: The standard form of a line is Ax+By=C. A is a positive integer, and B, C are integers.
Write the equation of the line: y=3x+12 in standard form. Start by moving the x-term to the left. Subtract 3x from both sides to get -3x+y=7. We need the x-term to be positive. so multiply the equation by -1 to get the answer 3x-y=8.

Parallel lines continue, literally, forever without touching (assuming that these lines are on the same plane). On the other hand, the slope of perpendicular lines are the negative reciprocals of each other, and a pair of these lines intersects at 90 degrees.