Question

fill in the missing numbers to complete the linear equation that gives the rule for this table.
x | y
4 | -24
5 | -30
6 | -36
7 | -42
y = \square x + \square
submit
a line passes through the points (-3, 2) and (3, 8). write its equation in slope - intercept form.
write your answer using integers, proper fractions, and improper fractions in simplest form.
write a linear equation from two points seventh grade lvh (0)
find the slope from two points
lesson: linear functions
lesson: slope

Explanation:

Step1: Calculate slope (m)

Slope formula: $m = \frac{y_2 - y_1}{x_2 - x_1}$. Use points (4, -24) and (5, -30):
$m = \frac{-30 - (-24)}{5 - 4} = \frac{-6}{1} = -6$

Step2: Find y-intercept (b)

Substitute $m=-6$, $x=4$, $y=-24$ into $y=mx+b$:
$-24 = (-6)(4) + b$
$-24 = -24 + b$
$b = -24 + 24 = 0$

Step3: Build linear equation

Substitute $m=-6$ and $b=0$ into $y=mx+b$.

Answer:

$y = -6x + 0$ (or simplified as $y=-6x$)