Question

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

x	-2	0	2	4
y	-14	-8	-2	4

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 \( x = 0 \), \( y = -8 \). So the y-intercept is \(-8\).

Step2: Calculate slope

The slope \( m \) of a linear function is given by \( m=\frac{y_2 - y_1}{x_2 - x_1} \). Let's take two points, say \((0, -8)\) and \((2, -2)\). Then \( m=\frac{-2 - (-8)}{2 - 0}=\frac{-2 + 8}{2}=\frac{6}{2} = 3 \).

Answer:

y-intercept: \(-8\)
slope: \(3\)