Question

What is the equasion of the line that passes through (0,5) and (2,3)

Answer 1

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 $m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$.

$m = \frac{5 - 3}{0 - 2}$

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

$m = -1$

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 $y=-1x+5$.