Question

Write an equation in the form y = ... suggested by the pattern in the table

Answer 1

ANSWER:

$y=x+6$

STEP-BY-STEP EXPLANATION:

We have that the equation in its slope and intercept form is the following

$\begin{gathered} y=mx+b \\ \text{where m is the slope and b is the y-intercept} \end{gathered}$

We calculate the slope with the following equation

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

The points are (5, 11) and (9, 15)

Replacing:

$m=\frac{15-11}{9-5}=\frac{4}{4}=1$

now, for b

x = 7

y = 13

m = 1

replacing:

$\begin{gathered} 13=1\cdot7+b \\ b=13-7 \\ b=6 \end{gathered}$

The equation is:

$y=x+6$