Throughout this question, you should use algebra to work out your answers, showing your working clearly. You may use a graph to check that your answers are correct, but it is not sufficient to read your results from a graph. (a) A straight line passes through the points  (3, −5/2) and (−3, 11/2) . (i) Calculate the gradient of the line.  (ii) Find the equation of the line.  (iii) Find the x-intercept of the line.  (b) Does the line y = −4/3 x + 3 intersect with the line that you found in part (a)? Explain your answer. (c) Find the coordinates of the point where the lines with the following equations intersect: 4x + 8y = 32, − 2x + y = −6

Q: The table shows the Gross Domestic Product, or GDP (in trillions of dollars), for 2009 through 2014.…

A:

Q: Write an equation in point-slope form for the line passing through the points (4, -3) and (-2, 6).…

A: Consider the given graph. The given points are (4, -3) and (-2, 6). The formula of the equation is…

Q: regression equation: Y= 11.5355x-58.77 If a new home is to have 3000 sq. ft. (i.e., 30 hundred sq.…

A:

Q: Find both the x-intercept and the y-intercept of the line given by this equation. (1.8x+2.1y-5.1=0)…

A:

Q: 12 pts) Diego is walking home from school. His distance from home (in yards) is given by the…

A: Diego is walking home from school. His distance from home (in yards) is given by the equation D =…

Q: Find the x- and y-intercepts of the equation. h (x) = 4 x – 1 Enter your answer as points (a, b).…

A: Put y = 0 in h(x) to determine the x intercept. h(x)=04x-1=04x=1x=14Hence, x-intercept=(14,0)

Q: Consider the following equation. y = x + 2 (a) Find the slope. (If the slope is undefined, enter…

A:

Q: The table on the right represents a linear function. (a) What is f(4)? (b) If f(x)=2.0, what is the…

A: Topic - Linear function Note: As per bartleby guidelines , we are supposed to answer only first…

Q: (x)f(x) be the height of a maple tree in inches and xx the number of years since 2000. A linear…

A: Given data, f(x)=9.44x+84.182

Q: The table on the right represents a linear function. y = f(x) 3.4 (a) What is f(1)? (b) If f(x) =…

A:

Q: f(x)=9.44x+84.182 A) To the nearest inch, estimate the height of the maple tree in 2017. inches…

A: Since,  x represents the number of year since 2000 then the year 2017 will have x value as  17…

Q: A bacterial colony started with 4,400 live cells. As part of an experiment, the colony is exposed to…

A: As per our guidelines, we are allowed to answer first three sub-parts only. Thanks   Given : The…

Q: regression analysis between cost to build a clinic (in dollars) and clinic size (in square foot)…

A: Given that ; y=75+6x X represent clinic size  Y represent cost of a clinic build.  Bu using the…

Q: Find the equation of the line that passes through the point (1, 9) and is parallel to the line y =…

A: Note : As per our guidelines we are supposed to answer only one question when multiple questions are…

Q: Simplify: 5(6 - ab)+ 2(-7+3ab).

A: Since you have asked multiple question, we will solve the first question for you. If you want any…