As the story goes, famous French polymath René Descartes came up with the idea after watching a fly crawl up a wall.
These questions comprise a large fraction of SAT/ACT questions, and students must fully command key elements.
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Equation of a line
y = mx+b.
m = slope, b = y-intercept.
Equation of a parabola
Equation of a circle
(x-h)^2+(y-k)^2 = r^2.
Vertex is (h,k), radius = r.
To write the equation of a line containing 2 given points (x,y):
Use a Desmos table together with y1 ~ mx1+b to return m, b.
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For practice, search Google for worksheets covering any or all of the above, pick a worksheet that provides answers, complete the worksheet, analyze any mistakes, and redo it until you can complete that worksheet with no errors. Then repeat, with additional worksheets, as needed, until you’ve mastered this material.
These questions comprise a large fraction of SAT/ACT questions, and students must fully command key elements.
Following is what you need to know.
-
Equation of a line
y = mx+b.
m = slope, b = y-intercept.
Equation of a parabola
Vertex form: y = a(x-h)^2 + k, vertex is (h,k).
Standard form: y = ax^2+bx+c, vertex is (h,k) with h = -b/2a, k = f(h).
Equation of a circle
(x-h)^2+(y-k)^2 = r^2.
Vertex is (h,k), radius = r.
To write the equation of a line containing 2 given points (x,y):
Use a Desmos table together with y1 ~ mx1+b to return m, b.
-
For practice, search Google for worksheets covering any or all of the above, pick a worksheet that provides answers, complete the worksheet, analyze any mistakes, and redo it until you can complete that worksheet with no errors. Then repeat, with additional worksheets, as needed, until you’ve mastered this material.
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