Question

Help need work shown ASAP

Answer 1

Answer:

y = 2x + 1

Step-by-step explanation:

From the table attached,

x          y            Difference $[d=(y_2-y_1)]$

-1         -1                   -

0          1              1 - (-1) = 2

1           3             3 - 1 = 2    

2          5             5 - 3 = 2

Since,there is a common difference 'd' = 2

Therefore, this table represents a linear equation.

Let the equation is,

y = mx + b

where 'm' is the slope and 'b' is the y-intercept.

Two points lying on the linear equation are (-1, -1) and (0, 1)

Slope 'm' = $\frac{y_2-y_1}{x_2-x_1}$

m = $\frac{1+1}{0+1}$

m = 2

And y-intercept 'b' = 1 unit

Therefore, equation of the line will be,

y = 2x + 1