Question

8 multiple choice 4 points solve: $\frac{m}{-5}=4$ 0.8 20 -40 -20 9 multiple choice 4 points find the equation of the line which has a slope of $\frac{2}{3}$ and contains the point (0,2). $y = 2x-\frac{2}{3}$ $y = 2x+\frac{2}{3}$ $y=-2x+\frac{2}{3}$ $y=\frac{2}{3}x + 2$

Explanation:

Step1: Solve for m in the first - equation

Multiply both sides by - 5.
$m = 4\times(-5)$

Step2: Calculate the value of m

$m=-20$

Step3: Find the equation of the line in the second - equation

Use the slope - intercept form $y = mx + b$, where m is the slope and b is the y - intercept. Given $m=\frac{2}{3}$ and the point $(0,2)$ which means $b = 2$. So the equation is $y=\frac{2}{3}x + 2$.

Answer:

1. D. -20
2. D. $y=\frac{2}{3}x + 2$