Question

question 8
find the equation of a line containing the following points. write the equation in slope - intercept form.
(-2, 5) and (2, -7)
y =
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Explanation:

Step1: Calculate the slope

The slope formula is $m=\frac{y_2-y_1}{x_2-x_1}$. Substitute $(x_1,y_1)=(-2,5)$ and $(x_2,y_2)=(2,-7)$:
$m=\frac{-7-5}{2-(-2)}=\frac{-12}{4}=-3$

Step2: Find y-intercept $b$

Use slope-intercept form $y=mx+b$, substitute $m=-3$ and point $(-2,5)$:
$5 = -3(-2) + b$
$5 = 6 + b$
$b = 5 - 6 = -1$

Step3: Write final equation

Substitute $m=-3$ and $b=-1$ into $y=mx+b$.

Answer:

$y=-3x-1$