Suppose the constant rate of change of y with respect to x is 8.5, and the value of y is 5 when the value of x is 11. what is the value of y when the value of x is 19? what is the value of y when the value of x is –1? what is the value of x when the value of y is 7?

Answer:(x, y) = (19, 73)(x, y) = (-1, -97)(x, y) = (11 4/17, 7)Step-by-step explanation:You are given a point and a slope, so you can write the linear equation relating x and y using the point-slope form of the equation for a line. That form for slope m and point (h, k) is ...   y = m(x -h) +kFor your given values, m = 8.5, and (h, k) = (11, 5), the equation relating x and y can be written ...   y = 8.5(x -11) +5___Evaluating this for several different x-values can be done with a spreadsheet or calculator. I like to write the function into a graphing calculator and let it do the tedious arithmetic. (See the attachment.)However, to show you what is involved in doing this by hand, we can ...   let x = 19, then ...   y = 8.5(19 -11) +5 = 8.5·8 +5 = 73__   let x = -1, then ...   y = 8.5(-1-11) +5 = 8.5·(-12) +5 = -97____To find the value of x for y=7, we can realize that to make y go up by 2 (from the given point of 5), we need to have x go up by 2/8.5 (from the given point of 11). That is ...   for y = 7 ...   x = 11 + 2/8.5 = 11 + 4/17 = 11 4/17