View full question and answer details: https://www.wyzant.com/resources/answers/820163/how-to-write-an-equation-for-the-linear-function-f-with-the-given-values-f-?utm_source=youtube\u0026utm_medium=organic\u0026utm_campaign=aae_videoQuestion: how to write an equation for the linear function f with the given values;f(3)=7 and f(4)=12------------------------Answered By:Martina M.Explaining Math in simple words! Your cousin disagrees, claiming that the two points could lie on a vertical line. What would be the x-intercept, and what can she learn from it? We can move from one form to another using basic algebra. Because this input value is mapped to more than one output value, a vertical line does not represent a function. Did you have an idea for improving this content? Using this point along with the origin, we can find the slope of the line from Westborough to Agritown: The equation of the road from Westborough to Agritown would be. In her situation, there are two changing quantities: time and money. Given information: The given values are f(1)=6,f(4)=6 . A graph of the system may be used to identify the points where one line falls below (or above) the other line. We could also write the slope as [latex]m=0.6[/latex]. Plug these into the general form to create 2 equations where m and b are the unknowns. Substitute the slope and y-intercept into the slope-intercept form of a line equation. The problem gives you two points: (-1, 4) and (-3, 8) . Linear models may be built by identifying or calculating the slope and using the y-intercept. For any x-value, the y-value is [latex]4[/latex], so the equation is [latex]y=4[/latex]. Here, the slope = 3 = 3/1 = rise/run. (hint: you may need to write ordered pairs and find the slope first). We already know the y-intercept of the line, so we can immediately write the equation: To predict the population in 2013, we evaluate our function at \(t=9\). Step 2: Write the slope as the fraction rise/run and identify the "rise" and the "run". Write the point-slope form of an equation of a line with a slope of 3 that passes through the point [latex]\left(6,-1\right)[/latex]. To notate these, we can define a coordinate system, identifying the starting point at the intersection where they both started. In the slope formula, the denominator will be zero, so the slope of a vertical line is undefined. A linear function is a function whose graph is a line. The slope is 3, so m= 3. If the town of Eastborough is located 20 miles directly east of the town of Westborough, how far is the road junction from Westborough? Is this function increasing or decreasing? . We can see that the x-intercept is (6, 0) as expected. To find when the population will reach 15,000, we can set \(P(t)=15000\) and solve for \(t\). Inverse Functions; Author: Professor Dave Explains; The linear function f with the given values f ( 1 ) = 6 , f ( 4 ) = 6 . When modeling and solving a problem, identify the variables and look for key values, including the slope and y-intercept. Because all we have to make that decision from is the costs, we are looking for when Keep on Trucking, Inc.will cost less, or when \(K(d) What Book Is House Of The Dragon Based On,
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