Question

Given the equation y=2x-3, if x increases by 1 unit what is the corresponding change in y? And if x decreases by 2 units, what is the corresponding change in y? Would these be written as 2(x+1)-3 and 2(x-2)-3?

Answer 1

When they mean change in y are they talking about the y variable. Would it be the change that would take place if the units are increasing or decreasing by a certain number of units?

Answer 2

*When they mean change in y are they talking about the y variable?

Answer 3

Y1 = 2 X1 - 3
Y2 = 2(X1+1) -3
so
Y2 - Y1 = 2 X1 + 2 - 2 X1
= 2
===========================
Y2 = 2 (X1 -2) -3
Y1 = 2 X1 -3
Y2 - Y1 = -4
=========================
that is brute force
but
calculus
dy/dx = 2
so
delta y = 2 delta x
if delta x = +1 then delta y = +2
if delta x = -2 then delta y = -4

Answer 4

I see your other question. In both questions they are really asking you about slope, constant change in y / change in x

Answer 5

a line of form
y = m x + b
has constant slope between points on the line
m = change in y / change in x
= slope = (Y2-Y1)/ (X2-X1)