Forms of Linear Equations
Presentation
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Mathematics
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8th - 10th Grade
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Hard
Joseph Anderson
FREE Resource
7 Slides • 0 Questions
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Different Forms of Linear Equations
Slope Y-intercept Form, Point-Slope Form, Standard Form
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Slope Y-intercept Form
Y= mx + b
of a line is: y=mx+b where m is the slope and b is the y-intercept. The y-intercept is always where the line intersects the y-axis, and will always appear as (0,b) in coordinate form.
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Slope Intercept Form>Standard Form
Subtract mx from both sides y - mx = (mx - mx ) + by - mx = b
Subtract b from both sides (optional)y - mx - b = b - by - mx - b = 0
Rearrange to put the x term first-mx + y - b = 0
Let the fraction A/B represent m. If m is an integer, then B will equal 1.-A/Bx + y - b = 0
Multiply both sides of the equation by the denominator B-Ax + By - Bb = 0
Let Bb = C-Ax + By - C = 0
Ax + By= C
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Standard Form
Standard Form: Ax + By = CThis means that we want the variables (x & y) to be on the left-hand side and the constant (6) to be on the right-hand side.When we move terms around, we do so exactly as we do when we solve equations! So, remember... Whatever you do to one side of the equation, you must do to the other side!
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Point-Slope Form
Point-slope is the general form y-y₁=m(x-x₁) for linear equations. It emphasizes the slope of the line and a point on the line (that is not the y-intercept).
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Point-Slope Form > Slope intercept form
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Point-Slope Form>Standard Form
Different Forms of Linear Equations
Slope Y-intercept Form, Point-Slope Form, Standard Form
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