Question

use similar triangles to determine the equation of the line with a slope of 1/2 that passes through the point (0, 2). \\(\frac{1}{2}=\frac{y - 2}{x}\\) what is the equation of the line in slope - intercept form?

Explanation:

Step1: Cross-multiply the given equation

$\frac{1}{2} = \frac{y - 2}{x} \implies x = 2(y - 2)$

Step2: Simplify to solve for y

$x = 2y - 4 \implies 2y = x + 4 \implies y = \frac{1}{2}x + 2$

Answer:

$y = \frac{1}{2}x + 2$