Question

2 of 13 cc.8 write a linear function from a table uy
question
write the linear equation that gives the rule for this table.

x	y
5	1
6	2
7	3
8	4

write your answer as an equation with y first, followed by an equals sign.
correct answer
y = x - 4
kennic silva paula answered
y=1x

Explanation:

Step1: Find the slope (m)

The slope \( m \) of a line passing through two points \((x_1, y_1)\) and \((x_2, y_2)\) is given by \( m=\frac{y_2 - y_1}{x_2 - x_1} \). Let's take the points \((5, 1)\) and \((6, 2)\). Then \( m=\frac{2 - 1}{6 - 5}=\frac{1}{1} = 1 \).

Step2: Use point - slope form to find the equation

The point - slope form of a line is \( y - y_1=m(x - x_1) \). We know \( m = 1 \) and we can use the point \((5,1)\). Substituting into the formula: \( y - 1=1\times(x - 5) \).
Simplify the equation: \( y-1=x - 5 \). Add 1 to both sides of the equation: \( y=x - 5 + 1 \), so \( y=x - 4 \).

Answer:

\( y=x - 4 \)