Question

3)
x\ty
-1\t3
0\t5
1\t8
2\t11
m=
b=
4)
y=mx+b

Explanation:

Step1: Find the slope (m)

The slope formula is $m = \frac{y_2 - y_1}{x_2 - x_1}$. Let's take two points, say (0, 5) and (1, 8). Then $m = \frac{8 - 5}{1 - 0} = \frac{3}{1} = 3$.

Step2: Find the y-intercept (b)

The y-intercept is the value of y when x = 0. From the table, when x = 0, y = 5, so b = 5.

Step3: Write the equation

Using the slope-intercept form $y = mx + b$, substitute m = 3 and b = 5. So the equation is $y = 3x + 5$.

Answer:

The slope $m = 3$, the y - intercept $b = 5$, and the equation is $y = 3x + 5$