Linear Equations
Point A is at (2, 4) and Point B is at (5, 7). Write the linear equation in Slope-Intercept Form.
y = x + 2
What is slope? Explain and write the equation
m = (y2 - y1) / (x2 - x1)
Slope is the change in y value for a given change in x value.
Jeopardy: Musical Instrument
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Bassoon
Point A is at (-4, 7) and Point B is at (14, -2). Write the linear equation in SI form.
y = -1/2x + 5
What is slope-intercept form and point-slope form? Write the general forms of both equations.
SI : y = mx + b
PS: y - y1 = m(x - x1)
Jeopardy: City in China
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Maoming
Line t has points at (-1, 6) and (4, 3). If Line h is parallel to Line t, write a possible equation for Line h in SI form.
Line t slope = -3/5, so Line h slope must = 5/3.
Line h: y = 5/3x +/- any number
If the product of two lines' slopes is equal to _____, it means they are __________.
-1, perpendicular
Jeopardy: Asian Country
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Azerbaijan
Write the equation of a line that's perpendicular to y = -2x - 3 at (-6, 9)
y - 9 = 1/2(x + 6)
y = 1/2x + 12
Explaining what x-intercept and y-intercept are by describing their location on a graph.
x-intercept is the point where y = 0, so it will be (x, 0).
y-intercept is the point where x = 0, so it will be (0, y).
Write the equation of a line that's perpendicular to y = 0.2x + 3 at (10, 5)
y - 5 = -5(x - 10)
y = -5x + 55
We have been talking about linear equations. What is an equation of the form Ax2 + Bx + C called?
Quadratic Equation
If a triangle is made inside a regular octagon by randomly connecting 3 vertices, what is the probability that at least one of the sides of the triangle will also be a side of the octagon? Give your answer as a fraction.
(8 + 8*4) / 8*7 = 5/7