Question

x: 0, 0.5, 0.75, 1.5; y: 3, 2, 1.5, 0. options: a: m=2, b=5; b: m=-3, b=7; c: m=1/2, b=3; d: m=4/5, b=-4; e: m=1, b=0.5; f: m=□, b=□

Explanation:

Step1: Identify slope formula

Slope $m = \frac{y_2 - y_1}{x_2 - x_1}$

Step2: Pick two points, calculate m

Use $(0, 3)$ and $(1.5, 0)$:
$m = \frac{0 - 3}{1.5 - 0} = \frac{-3}{1.5} = -2$

Step3: Find y-intercept b

When $x=0$, $y=3$, so $b=3$.

Step4: Match to options (or fill F)

No given option matches, so fill F: $m=-2$, $b=3$.

Answer:

F. $m=-2$, $b=3$