Question

5 what must be the value of y below so that the line passing through the points (4, 4) and (-3, y) has a slope of -2? a 10 b 2 c 18 d -6

Explanation:

Step1: Recall slope formula

The slope $m$ between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $m=\frac{y_2-y_1}{x_2-x_1}$.
Here, $m=-2$, $(x_1,y_1)=(4,4)$, $(x_2,y_2)=(-3,y)$.
Substitute values: $-2=\frac{y-4}{-3-4}$

Step2: Simplify denominator

Calculate $-3-4=-7$:
$-2=\frac{y-4}{-7}$

Step3: Solve for $y-4$

Multiply both sides by $-7$:
$(-2)\times(-7)=y-4$
$14=y-4$

Step4: Isolate $y$

Add 4 to both sides:
$y=14+4$
$y=18$

Answer:

C. 18