2. A linear model for the data in the table is shown in the scatter plot. x y
1 2
2 6
5 6
6 9
7 11
9 10
10 13

(a) Which two points should you use to find the equation of the model? Circle the points on the graph.
(b) What is the slope of the linear model? Show your work.
(c) What is the equation of the linear model in point-slope form?
(d) What is the slope-intercept form of the equation you wrote in Part (c)? Show your work.
(e) What is the equation for the least squares regression line? Round the values for a and b to three decimal places. (Hint: Use a calculator or spreadsheet program.)

After a dreary day of rain, the sun peeks through the clouds and a rainbow forms. you notice the rainbow is the shape of a parabola. the equation for this parabola is y = -x2 + 36. graph of a parabola opening down at the vertex 0 comma 36 crossing the x–axis at negative 6 comma 0 and 6 comma 0. in the distance, an airplane is taking off. as it ascends during take-off, it makes a slanted line that cuts through the rainbow at two points. create a table of at least four values for the function that includes two points of intersection between the airplane and the rainbow. analyze the two functions. answer the following reflection questions in complete sentences. what is the domain and range of the rainbow? explain what the domain and range represent. do all of the values make sense in this situation? why or why not? what are the x- and y-intercepts of the rainbow? explain what each intercept represents. is the linear function you created with your table positive or negative? explain. what are the solutions or solution to the system of equations created? explain what it or they represent. create your own piecewise function with at least two functions. explain, using complete sentences, the steps for graphing the function. graph the function by hand or using a graphing software of your choice (remember to submit the graph).

Complete the conditional statement. if a + 2 < b + 3, then a < b b < a a – b < 1 a < b + 1

Can someone plz me understand how to do these. plz, show work.in exercises 1-4, rewrite the expression in rational exponent form.[tex]\sqrt[4]{625} \sqrt[3]{512} (\sqrt[5]{4} )³ (\sqrt[4]{15} )^{7}\\ (\sqrt[3]{27} )^{2}[/tex]