The equation for a line is mx + b = y where m is the slope and b is the y intercept. To find the slope, we need to use the equation [tex] m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} [/tex].
[tex] m = \frac{5 - 3}{0 - 2}[/tex]
[tex]m = \frac{2}{-2}[/tex]
[tex]m = -1[/tex]
Therefore, m is equal to -1. Normally, we would then have to plug in m and one of the points to find b. However, because the point (0,5) is the y-intercept (the y-intercept is the point on the line where x is equal to 0), we can skip this step and go straight to forming the final equation, which is [tex]y=-1x+5[/tex].
