Question

write an equation in slope-intercept form of the line that passes through the given points.

x	y
-4	9
-2	4
0	-1
2	-6

y = \square

Explanation:

Step1: Calculate slope $m$

Use slope formula $m=\frac{y_2-y_1}{x_2-x_1}$. Take points $(-4,9)$ and $(-2,4)$:
$m=\frac{4-9}{-2-(-4)}=\frac{-5}{2}=-\frac{5}{2}$

Step2: Identify y-intercept $b$

From the table, when $x=0$, $y=-1$, so $b=-1$.

Step3: Write slope-intercept form

Slope-intercept form is $y=mx+b$. Substitute $m=-\frac{5}{2}$ and $b=-1$:
$y=-\frac{5}{2}x-1$

Answer:

$y=-\frac{5}{2}x-1$