Review the coordinate plane & slope practice. Complete this assessment to review what you’ve learned . It will not count toward your grade.
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Review of the Coordinate Plane:
The coordinate plane is a two-dimensional grid formed by two number lines, the x-axis and y-axis, which intersect at their common origin (0,0). Each point on the coordinate plane corresponds to a unique pair of numbers (x, y), where x represents the horizontal position and y represents the vertical position.
Slope and Slope Formula:
Slope is a measure of the steepness or inclination of a line. It can be calculated using the slope formula:
m = (y2 - y1) / (x2 - x1)
where (x1, y1) and (x2, y2) are two distinct points on the line.
Common Types of Slopes:
1. Positive slope: The line rises from left to right.
2. Negative slope: The line falls from left to right.
3. Zero slope: The line is horizontal.
4. Undefined slope: The line is vertical.
Assessment Example:
1. Find the slope of a line passing through the points (3, 2) and (5, 8).
Solution: Using the slope formula,
m = (8 - 2) / (5 - 3)
m = 6 / 2
m = 3
2. Identify the type of slope for the line with an equation of y = -3x + 4.
Solution: The coefficient of x is -3, indicating a negative slope. Therefore, the slope is negative.
Remember to practice plotting points, determining the slope of a line, and interpreting different types of slopes on the coordinate plane.