Review
Sliding a figure down 2 units and right 3 units is called a....
What is translation
x and y are
correct coordinates on a plane
If the slope of a line is negative 3, how would you interpret this in the context of a real-world situation?
In a real-world situation, a slope of negative 3 would mean that for every 1 unit of horizontal change (run), there is a 3-unit decrease in the vertical position (rise). This could represent a decline in some variable, such as a decrease in temperature over time.
Flipping a figure over the y-axis is called...
What is reflection?
Graph the equation y=2x+4 on a coordinate plane. Identify the y-intercept and one other point on the line.
Graph
If a line has a slope of 0, what does that tell you about the line's direction on a graph?
A slope of 0 means the line is horizontal, running parallel to the x-axis. There is no vertical change (rise) for any horizontal change (run).
If a line is parallel to another, it has _____ slope
...the same slope.
Turning a figure 90 degrees clockwise about the origin
What is rotation?
Graph the line passing through the points (0, 3) and (5, 1). Determine the slope and y-intercept of the line.
To find the y-intercept, substitute one of the points into the slope-intercept form y=mx+b. Let's use (0, 3):
3=−2/5 x 0+b
b=3
So, the slope is −2/5 and the y-intercept is 3.
If the slope of a line is 2, what does this mean in terms of rise and run?
A slope of 2 means that for every 1 unit of horizontal change (run), there is a 2-unit vertical change (rise) in the line.
The collective term for translations, reflections, and rotations
What is transformations?
How can you visually estimate the slope of a line from its graph without using specific coordinate values?
By examining the steepness of the line, you can estimate the slope. If the line is steep, the slope is large; if it's less steep, the slope is smaller.
If the slope of a line is negative, what does that tell you about the line on a graph?
A negative slope indicates that the line goes down from left to right. It represents a decreasing relationship between the variables.
If a figure is in the first quadrant and you rotate it 180 degrees clockwise, what quadrant will it be in now?
What is the 3rd quadrant?
Can the slope of a line be negative if the line is horizontal? Explain.
No, a horizontal line has a slope of 0 because there is no vertical change (rise) for any horizontal change (run). The slope is undefined for a vertical line.
How do you find the y intercept?
point where the line passes the y axis
If a line goes up from left to right on a graph, how would you describe its slope?
If a line goes up from left to right, it has a positive slope.