1. What is the slope-intercept form of a linear equation?
The slope-intercept form of a linear equation is y = mx + b, where m is the slope of the line and b is the y-intercept.
2. How can you graph a linear equation using the slope-intercept form?
To graph a linear equation using the slope-intercept form, first identify the y-intercept (b) and plot that point on the y-axis. Then use the slope (m) to find additional points on the line, either by going up or down by the numerator of the slope and right by the denominator, or by going down or left by the numerator of the slope and left by the denominator. Connect the points to form the line.
3. What does the slope of a linear equation represent?
The slope of a linear equation represents the rate of change of the line. It tells you how steep the line is and in which direction it is moving.
4. Explain how to calculate the slope of a line given two points on the line.
To calculate the slope of a line given two points on the line, first determine the difference between the y-coordinates of the two points (Δy) and the difference between the x-coordinates of the two points (Δx). Then divide Δy by Δx to find the slope, which is represented as m = Δy/Δx.
Math 8B unit five lesson seven graphing linear equations quick check
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