Question

write the linear equation that gives the rule for this table.
x | y
2 | 29
3 | -3
4 | -35
5 | -67
write your answer as an equation with y first, followed by an equals sign.
y=

Explanation:

Step1: Calculate slope $m$

Slope formula: $m=\frac{y_2-y_1}{x_2-x_1}$. Use $(x_1,y_1)=(2,29)$ and $(x_2,y_2)=(3,-3)$:
$m=\frac{-3-29}{3-2}=\frac{-32}{1}=-32$

Step2: Find y-intercept $b$

Use $y=mx+b$, substitute $m=-32$, $x=2$, $y=29$:
$29 = -32(2) + b$
$29 = -64 + b$
$b=29+64=93$

Step3: Form linear equation

Substitute $m=-32$ and $b=93$ into $y=mx+b$.

Answer:

$y=-32x+93$