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Point-Slope Form Parallel & Perpendicular Lines Scatter Plots 100 Point 200 Points 300 Points 400 Points 500 Points 100 Point 200 Points 300 Points 400 Points 500 Points 300 Points 400 Points 500 Points Standard Form Slope-Intercept Form

Find the equation of the line that has a slope (m =) of 4 and passes through the point (–1, –6).

y = mx + b (–6) = (4)(–1) + b –6 = –4 + b –2 = b The answer is “y = 4x – 2”.

Find the equation of a line using the two given points: (–2, 4) and (1, 2).

First you have to find the slope M = (4)-(2)/(-2)-(1) = -2/3 Then you have to solve the equation: y = mx + b 4 = (-2/3)(–2) + b 4 =4/3 + b 4 – 4/3= b b = 8/3 The answer is “y = ( – 2 / 3 ) x + 8 / 3.”

Find the equation of a line that passes through the given points: (-4,5) (6,18).

First you have to find the slope of the line: M = 18-5/6-(-4) = 13/10 Then you have to solve the equation: y = mx+b (18)=13/10(6)+b (18)=7and 4/5+b 10 and 1/5=b The answer is “y = 13/10x+10 and 1/5”.

Write an equation for Line P in Slope-Intercept Form. For the figure shown, write an equation for line p in slope–intercept form.

y = mx+b y = -5/2x+0 The answer is “y= -5/2x”

Word Problem: A car costs a down payment of $13,246. Every month you pay $353 on the car. Set up an equation to describe this. Then use your equation to answer.. How much money would you pay on the car after 6 months?

Equation: “y =353x+13246” Using the equation: y = 353(6) The answer is “y = 15364”.

What is the equation for Point- Slope Form?

The answer is “y-y 1 =m(x-x 1 )”.

Write the equation of a line in Point-Slope Form that has a slope of 5/3 and a point of (10,6).

The answer is “y-(6)=5/8(x-(10))”.

Find the equations of the line that passes through the given points in Point-Slope Form: (8,5) (11,9).

First you must find the slope of the line: M =9-5/11-8 = 4/3 Then use a point and put it in Point-Slope Form: “y-5=4/3(x-8)” OR “y-9=4/3(x-11)”

Write the Equation represented by the graph in Point-Slope Form.

The answer is “y-(2)=4(x-(1))” OR “y-(-2)=4(x-(0))”.

Word Problem: In order to use an excerpt from a movie in a new television show, the television producer must pay the director of the movie $790 for the first 2 minutes of the excerpt and $130 per minute after that. Write an equation that gives the total cost (in dollars) of using the excerpt as a function of the length (in minutes) of the excerpt. Then find the total cost using an except that is 10 minutes long.

The answer is “y = 130x+530.” Using the equation the answer is “y= $1830”.

What is the equation for Standard Form?

The answer is “Ax+By=C”.

Write the following Equation in Standard Form: y-(-6)=2/3(x-3)

First you have to distribute: y+6=2/3x-2 Then you solve. The answer is “-2/3x+y =(-8)”.

For the information below write an equation in Standard Form: Slope of -3/2 and a point of (-4,4).

First you must put into either Point Slope Form or Slope Intercept Form. In this example of solving the equation is in Slope Intercept Form. (4)=-3/2(-4)+b 4=6+b -2=b Then Put into Standard Form. The Answer is “-3/2x+y=(-2).

Write an equation in Standard Form using the two pints given: (0,-1) (-6,-9)

The answer is “-4/3x+y =(-1)”.

Describe and correct the error in finding the value of A for the equation Ax-3y=5, if the graph of the equation passes through the point (1,-4) A(-4)-3(1)=5 A=(-2)

The answer is (1,-4) was substituted incorrectly, 1 should be substituted for x and -4 should be substituted for y Then “A=(-7)”.

What is one way you can tell if an equation is Parallel?

The answer is “Parallel Lines have the same Slope.”

How can you tell if Lines are Perpendicular? Hint*- You must have all parts to get full point value.

The answer is “Perpendicular lines have slopes of (opposite) reciprocals and one of the slopes is negative.”

Write an equation parallel to y = 2x+2 And goes through the point (-1,5).

The Slope is the same. However you must find the y-intercept. The answer is “y=2x+5”.

Write an equation of the line that is Perpendicular to 4y+2x=12 and passes through (8,-1).

First you must turn the equation into Slope Intercept form. Then solve using the point given for the y intercept. Then you must do the opposite reciprocal. The answer is “y=2x-17”.

While nursing, blue whale caves can gain weight at a rate of 200 pounds per day. Two particular calves weight 6000 pounds and 6250 at birth. Write equations that model the birth of each calf as a function or the number of days since birth. How are the equations related? Hint*- Are they Parallel of Perpendicular?

The answer is w=200d+6000 And w=200d+6250 They are Parallel and have the same slope.

What is the Zero of the function?

The answer is “A zero of a function is when f(x)=y and f(x) or y equals zero.”

What is the zero of function for the following equation? f(x)=2/3x +9

The answer is “-13 ½”.

What is the difference between Positive, Negative, and No Correlation?

The answer is “Positive- y increases as x increases, Negative- y decreases as x increases, and No Correlation- there is no apparent relationship between x and y.”

Which of the following would best represent the correlation between ice cream sales in the summer.

The answer is

Make a scatter plot for the following data and draw a line of fit.

The answer is

Make your wager

Final Question

Final Answer