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The unique slope-intercept form of this line is: y(x)=1.5x+2.5 (solve the first equation for t and substitute this result into the second equation). The vector-parametric form of a line extends naturally to lines in 3-dimensional and higher spaces. The other forms do not. Example: X=(–1,1,2)+t(2,3,–1), t∈R is a line in 3-dimensional space. The line goes through the points (–1,1,2) and (1,4,1). Explore slope-intercept form of a line. Connect the slope and y-intercept to the equation of the line. Challenge yourself in the line game! Sample Learning Goals Graph a line given an equation in slope-intercept form. Write an equation in slope-intercept form given a graphed line. Predict how changing the values in a linear equation will affect ...

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Sample Solution: Python Code: import matplotlib.pyplot as plt # line 1 points x1 = [10,20,30] y1 = [20,40,10] # plotting the line 1 points plt.plot(x1, y1, label = "line 1") # line 2 points x2 = [10,20,30] y2 Next: Write a Python program to plot two or more lines with legends, different widths and colors.Interpreting the Slope of a Trend Line Chris Wild, University of Auckland This is a scatter plot of heights versus ages for about 460 school students. [Data used: as a csv file and as a tab-delimited txt file.] After first adding a linear trend to this plot and then clicking “Get Summary” we get: Linear Trend: height = 85.68 + 5.76 ∗ age

Jul 25, 2013 · import matplotlib.pyplot as plt import random ## List containing all the equations already used test = [] ## Sets the size of the graph, also adds lines on the axes and ## a grid. There is a grid function build in to matplotlib.pyplot, ## but it isn't very flexable. To graph a line using its slope and y-intercept, we need to make sure that the equation of the line is in the Slope-Intercept Form, From this format, we can easily read off both the values of the slope and y-intercept. The slope is just the coefficient of variable x which is m, while the y-intercept is the...Create a class defined for Regression. Class attributes are data points for x, y, the slope and the intercept for the regression line. Define an instance method to find the regression line parameters (slope and intercept). Plot all data points on the graph. Plot the regression line on the same plot.