Answer to Question #74957 in General Chemistry for Lisa Vallado

Question

Given the following two data points in the form (x,y): (1.548, 11.2) and (2.119, 17.9) a) Determine the change in x values, that is ∆x. b) Determine the change in y values, that is ∆y. c) Determine the slope, m, of a line connecting these two points, m = Δy. Δx . d) Since a linear equation is described by an equation of the form y ...

Answer 1

Solution:
∆x = x2 –x1 = 2.119 – 1.548 = 0.571;
∆y = y2 – y1 = 17.9 – 11.2 = 6.7;
m = ∆y/∆x = 6.7/0.571 = 11.734;
y = mx + b;
2.119 = 11.734 * 1.548 + b;
b = 2.119 – 11.734 * 1.548 = -16.045;
y0 = mx0 + b = b = -16.045