Question

Can someone help me how to fill in the table of values?

Answer 1

Step-by-step explanation:

the most common form of line equation is

y = ax + b

a is the slope of the line. it is expressed as the ratio

y coordinate change / x coordinate change

when going from one point to the other. it tells us how steeply inclined the line is, and in what direction (up = + or down = -).

b is the y-intercept (the y value when x = 0). so, the point (0, y), and it tells us how high above or low below the x-axis the line is going.

and the y values in the table ? well, as the equation says, y = 2x + 1.

you take the x value, put it into the place of x in the equation, and then calculate y. that is how functions work.

so,

x y

-2 2×-2 + 1 = -4 + 1 = -3

-1 2×-1 + 1 = -2 + 1 = -1

0 2×0 + 1 = 0 + 1 = 1

1 2×1 + 1 = 2 + 1 = 3

2 2×2 + 1 = 4 + 1 = 5