Question

(0,1)(4,2) find the slope and y-intercept using the point slope formula

Answer 1

Hello, Jssoyg! I've solved the problem for you below. I hope it helps.

Slope equation is$\frac{y2 - y1}{x2 - x1}$. The two points are (0,1) and (4,2), so the equation becomes $\frac{2 - 1}{4 - 0} = \frac{1}{4}$. We now know that the slope is 1/4, so now let's write it in the $y = mx + b$ format. Plug in the m, x, and y values:$2 = 4*\frac{1}{4} + b$.

This becomes $2 = 1 + b$ which means b = 1.

Your answer is y = 1/4x + 1. Hope this was helpful. :D