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Published byVernon Little Modified over 8 years ago
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Writing Linear Equations
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Slope-Intercept Form- An equation written in the form y=mx+b, where m is the slope and b is the y-intercept. Point-Slope Form- An equation written in the form y-y 1 =m(x-x 1 ), where m is the slope and (x 1,y 1 ) is a point on the line.
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If it is not already in it, get equation into y=mx+b form M is the slope If there is no x term in equation, m=0 B is the y-intercept If there is no term in equation not multiplied by a variable, b=0
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Start out with y=mx+b Substitute slope in for m With the point (x,y) substitute in the values for x and y in the equation Solve for b Write equation in slope intercept form
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Either one can be used for the same problem Based on preference Use whichever one you are more comfortable with
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As a salesperson, Jeremy is paid a daily salary plus commission. When his sales are $1000, he makes $100. When his sales are $1400, he makes $120. A) Write a linear equation to model this situation. B) What is Jeremy’s salary and commission rate? C) What would Jeremy make in a day if his sales were $2000?
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For each meeting of the TCU High School book club, $25 is taken from the activities account to buy snacks and materials. After their 6 th meeting, there will be $350 left in the activities account. A) If no money is put back into the account, what equation can be used to show how much money is left in the activities account after having x number of meetings? B) How much money was originally in the account? C) After how many meetings will there be no money left in the activities account?
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Lines that are parallel have the same slope Lines that are perpendicular have slopes that are opposite reciprocals
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Worksheet 2-4
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