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Learn how to write the slope formula from scratch and how to apply it to find the slope of a line from two points.
Slope tells us how steep a line is. It's like measuring how quickly a hill goes up or down. We find the slope by seeing how much we go up or down (vertical change) for each step to the right (horizontal change). If a line goes up 2 steps for every 1 step to the right, its slope is 2.
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Learn how to find the slope of a line in this Khan Academy video.
A line that's flat has a slope of 0. If a line goes up as you move to the right, it has a positive slope. The steeper it is, the bigger the slope. If a line goes down as you move to the right, it has a negative slope. The steeper it is, the more negative the slope.
So what we'll do is figure out the slope of A, then take the negative inverse of it. Then we'll know the slope of B, then we can use this point right here to fill in the gaps and figure out B's y-intercept. So what's the slope of A? This is already in slope-intercept form. The slope of A is right there, it's the 2, mx plus b.
Lesson 11: Average rate of change. Introduction to average rate of change. Worked example: average rate of change from graph. Worked example: average rate of change from table. Average rate of change: graphs & tables. >.
Another common interpretation is that the derivative gives us the slope of the line tangent to the function's graph at that point. Learn how we define the derivative using limits. Learn about a bunch of very useful rules (like the power, product, and quotient rules) that help us find derivatives quickly.
Practice determining what each of the slope, x-intercept, and y-intercept represent in a given linear relationship.
Estimating equations of lines of best fit, and using them to make predictions. Line of best fit: smoking in 1945. Estimating slope of line of best fit. Equations of trend lines: Phone data. Linear regression review. Math>. Statistics and probability>. Exploring bivariate numerical data>.