Question

first, complete the following table. use only integer values.

x y
0 6
5 46

determine the slope and y-intercept for this relationship. round to the nearest integer for all answers.
m:
b:

using the slope and y-intercept you provided above, write the slope-intercept form equation to represent the relationship.
equation:

Explanation:

Step1: Identify y-intercept (b)

The y-intercept is the y-value when $x=0$, so from the table, $b = 6$.

Step2: Calculate slope (m)

Use slope formula $m=\frac{y_2-y_1}{x_2-x_1}$. Substitute $(x_1,y_1)=(0,6)$ and $(x_2,y_2)=(5,46)$:
$m=\frac{46-6}{5-0}=\frac{40}{5}=8$

Step3: Write slope-intercept equation

Use form $y=mx+b$, substitute $m=8$ and $b=6$.

Answer:

m: 8
b: 6
Equation: $y=8x+6$