Question

which is an equation for line (ell) in the accompanying diagram?
(y = 2x - 4)
(y = -2x - 4)
(y = -2x + 2)
(y = 2x + 2)

Explanation:

Step1: Identify slope formula

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

Step2: Pick 2 points from line

Use $(2,0)$ and $(0,-4)$

Step3: Calculate slope

$m = \frac{0 - (-4)}{2 - 0} = \frac{4}{2} = 2$

Step4: Find y-intercept

From graph, $b = -4$

Step5: Write line equation

$y = mx + b = 2x - 4$

Answer:

$y = 2x - 4$