Q: Use the equation y = -2x + 1. Complete each solution:
(a) (0, __ )
(b) (-5, __ )
(c) (20, __ )
(d) (-68, __ )
A: So, we have an equation y = -2x + 1 and we are given a bunch of points to complete. Notice that these are (x, y) points. In all of the problems, we were given the x value but we need to find the y value. Therefore, we are going to plug in the given number for x, then solve for y!
(a) (0, __ )
Plug in 0 for x:
y = -2x + 1
y = -2(0) + 1
y = 0 + 1
y = 1
(b) (-5, __ )
Plug in -5 for x:
y = -2x + 1
y = -2(-5) + 1
y = 10 + 1
y = 11
(c) (20, __ )
Plug in 20 for x:
y = -2x + 1
y = -2(20) + 1
y = -40 + 1
y = -39
(d) (-68, __ )
Plug in 0 for x:
y = -2x + 1
y = -2(-68) + 1
y = 136 + 1
y = 137
And, there you go! You have all of the missing pieces.