Derive the equation of the line through the origin. Explain: I found the slope by ______________ __________________________ and then plugged my slope into the equation _______________ G. 𝑦 = 3𝑥 H.𝑦 = 6𝑥 I. 𝑥 + 𝑦 = 3

Answer 1

To find the equation of the line through the origin, we need to determine the equation in the form y = mx, where m is the slope.

For equation G, y = 3x, the slope is determined by the coefficient of x, which is 3. Therefore, I found the slope by identifying the coefficient of x in the equation y = 3x. Then, I plugged the slope of 3 into the equation y = mx to get y = 3x as the equation of the line through the origin.

Therefore, the equation of the line through the origin is G. 𝑦 = 3𝑥.