Plot Points, Find Slope, Write Equations from Two Points

Front

What is a coordinate point?

Back

A coordinate point is a pair of numbers (x, y) that define a specific location on a Cartesian plane.

Front

What does the x-coordinate represent?

Back

The x-coordinate represents the horizontal position of a point on the Cartesian plane.

Front

What does the y-coordinate represent?

Back

The y-coordinate represents the vertical position of a point on the Cartesian plane.

Front

How do you find the slope between two points?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What is the slope of the line through the points (2, 3) and (4, 7)?

Back

The slope is 2.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

What is the equation of a line in slope-intercept form?

Back

The equation is y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you write the equation of a line given two points?

Back

First, find the slope using the two points, then use the slope and one point to write the equation in point-slope form: y - y1 = m(x - x1).

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis (x=0).