Question

Find the equation of the following line. Each grid = 1 unit.

Answer 1

First, pick two points on the line – for example, (2,1) and (4,0). Use these points to calculate the slope: $m=\frac{1-0}{2-4}=\frac{1}{-2}=-\frac{1}{2}$.
Next, find the y - intercept : (0,2). Thus, b =2.
Therefore, the equation for this line is $y=-\frac{1}{2}x+2$
Check using the point (4,0)
y = -$\frac{1}{2}\left(4\right)+2$
0= -$\frac{1}{2}\left(4\right)+2$
0 = 0