Question

a table of values of a linear function is shown below.

x	-3	0	3	6
y	-8	-5	-2	1

find the y-intercept and slope of the functions graph.

y-intercept:
slope:

Explanation:

Step1: Find y-intercept

The y-intercept is the value of \( y \) when \( x = 0 \). From the table, when \( x = 0 \), \( y = -5 \). So the y-intercept is \(-5\).

Step2: Calculate slope

The slope \( m \) of a linear function is given by the formula \( m=\frac{y_2 - y_1}{x_2 - x_1} \). Let's take two points from the table, say \( (x_1,y_1)=(-3,-8) \) and \( (x_2,y_2)=(0,-5) \). Then \( m=\frac{-5 - (-8)}{0 - (-3)}=\frac{-5 + 8}{0 + 3}=\frac{3}{3}=1 \).

Answer:

y-intercept: \(-5\)
slope: \(1\)