### Concept (1)

An ellipse is an important conic section and is formed by intersecting a cone with a plane that does not go through the vertex of a cone. The ellipse is defined by two points, each called a focus. From any point on the ellipse, the sum of the distances to the focus points is constant. The position of the foci determine the shape of the ellipse. The ellipse is related to the other conic sections and a circle is actually a special case of an ellipse.

### Sample Problems (9)

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Give the equation for a line with slope -⅘ with y-int (0,2).

###### Problem 1
How to find the equation of a line in slope-intercept form given the slope and y-intercept.

Give the equation for the line with slope ⅔ that passes through the point (6,-1).

###### Problem 2
How to find the equation of a line in slope-intercept form given the slope and a point.

Find the equation of the line that passes through (3,1) and (-6,13).

###### Problem 3
How to find the equation of a line in slope-intercept form given two points
###### Problem 4
Using two points to write the equation for a line in slope- intercept form
###### Problem 5
Comparison between different forms of the equation for a line (general, slope intercept, and point-slope form.)
###### Problem 6
Using a point and a slope to write the equation of a line in slope-intercept form
###### Problem 7
Writing equations for lines perpendicular and parallel to a given line through a given point
###### Problem 8
How to write equations of vertical and horizontal lines in slope-intercept form
###### Problem 9
Identifying the slope and y-intercept from a linear relationship presented in a variety of ways