Question

25 26 sat simulation grade 11 math part 1
question 17
$12(x - 6) = 4(y + 3)$
the graph of the given equation in the $xy$-plane has a slope of $m$. what is the value of $m$
$circ$ 3
$circ$ 4

Explanation:

Step1: Simplify both sides

$12(x-6)=4(y+3)$
$12x - 72 = 4y + 12$

Step2: Isolate $y$ term

$4y = 12x - 72 - 12$
$4y = 12x - 84$

Step3: Solve for $y$ (slope-intercept)

$y = \frac{12x}{4} - \frac{84}{4}$
$y = 3x - 21$

Step4: Identify slope $m$

Slope is coefficient of $x$, so $m=3$

Answer:

3