Graphs on the Coordinate Plane

Flashcards related to Graphs on the Coordinate Plane.

Coordinate Plane

A two-dimensional surface made by two lines.

X-axis

Horizontal line of the graph (left-right).

Y-axis

Vertical line of the graph (up-down).

Intercept

The origin point and where you start (0,0).

Quadrants

4 planes divided into four quadrants.

Slope

Tells you how steep a line is and in what direction it goes.

Types of Slopes

Positive: The line goes up. As x increases, y increases. Negative: The line goes down. As x decreases, y decreases. Zero: Flat. Horizontal line, no rise. Undefined: Vertical. straight up & down, no run.

Steepness

How much a line is tilted (goes up or down) when it moves from left to right. It needs to tell us how fast something changes. Steepness = rate of change.

General form

Is mostly given in a problem statement, but converted into standard form.

Standard form

Is used to clearly show the x-intercept and y-intercept, but it's mostly converted to slope-intercept form to graph easily.

Point-slope form

Used when the slope and a point (x,y) are given to help you find the equation of a line or build the equation without needing to get the y-intercept first.

Finding the x-intercept

Make y = 0 and solve for x.

Finding the y-intercept

Make x = 0 and solve for y.