Review: Slope, Equations of Lines and Equations of Circles.

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Presentation transcript:

Review: Slope, Equations of Lines and Equations of Circles

Equations of Lines: Determine if the following points are solutions to the equation. Then graph the equation. y=3x – 4 (2,1) (5, 11)

Graph: 2x-3y=6y-3=2/3 (x+1)

Find the intercepts of the following equation: y=x 2 -3x-10 What is this type of equation called?

Write the equation of the following lines: Has a slope of 3 and y-intercept of -1 Has a slope of 5 and passes through (2,1)

Passes through (3,2) a d (-7, -5) Passes through (0,0) and is parallel to 2x+3y=1 Passes through (4,2) and is perpendicular to 3x-y=3

Standard Form of a Circle : The point (x,y) lies on the circle of radius r and center (h,k) if and only if (x-h) 2 +(y-k) 2 = r 2 Write the standard form of the equation of the circle with the given characteristics: 1. Center: (-7, -4); radius 7 2. Center (3,-2); solution point (-1, 1) 3. Endpoints of a diameter: (-4, -1) and (4, 1)

What do you know about slope?

1. The temperature T, in degrees Fahrenheit, of a frozen pizza placed in a hot oven is given by T=f(t), where t is the time in minutes since the pizza was put in the oven. A) What is the sign of the slope? B) If the slope is 2, what does that tell us? Give the units for the slope.

Let f(t) be the number of centimeters of rainfall that has fallen since midnight, where t is the time in hours. Interpret the following in practical terms, giving units. 1. f(10)= The slope of 0.4.

Another way to talk about slope is to ask for the Average Rate of Change of a function over a specific interval. Find the average rate of change for the function and then draw the secant line on the graph. f(x)= x 2 -2x-1 1. over the interval [-2, -1] 2. over the interval [0,1]