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Aidan beavis perera

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Q: How do you use slope to graph linear equations?
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What type of slope intercept form of the equation of a line is?

The slope-intercept form of the equation of a nonvertical line with slope m and y-intercept b is y = mx + b or can be expressed in function notation by replacing y with f(x), f(x) = mx + b. Functions in this form are linear functions. If a linear function is in slope-intercept form, we can use the y-intercept and the slope to obtain its graph.Graphing y = mx + b using the slope and y-intercept:1. Plot the point containing the y-intercept on the y-axis. Yhis is the point (0, b).2. Obtain a second point using the slope m. Write m as a fraction (if it is not a fraction), and use rise and run, starting at the point containing the y-intercept, to plot this point.3. Use a straightedge to draw a line through the two points (the line continues indifinetly in both directions).Example: Graph the linear functiony f(x) = -2x + 1Solution:Step 1. Find the slope m and the y-intercept.m = -2 and y-intercept is 1Step 2. Plot the point containing the y-intercept on the y-axis.Plot (0, 1)Step 3. Obtain a second point using the slope m. Write m as a fraction (if it is not a fraction), and use rise and run, starting at the point containing the y-intercept, to plot this point.m = -2/1 = Rise/RunPlot the second point by starting at (0, 1). Move 2 units down (the rise) and 1 unit to the right (the run). so we obtain a second point on the line, (1, -1).Step 4. Use a straightedge to draw a linethrough the two points.Now you have the graph of the linear function f(x) = -2x + 1.