Question

Find the equation of the line

Answer 1

Answer: y=1/2x

Step-by-step explanation:

The equation we can use is slope-intercept form. The formula is y=mx+b. The m represents the slope, and b is the y-intercept. The line passes through the y-axis at (0,0). therefore, the y-intercept is 0.

To find the slope, we can take any two points and use the formula $m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$ to solve for slope. Let's use (2,1) and (4,2).

$m=\frac{2-1}{4-2} =\frac{1}{2}$

The slope is 1/2. Our equation is y=1/2x+0 or y=1/2x.