Find the equation of the line that passes through the given points

(1,5) and (2,0)
y=-5/1x+10

To find the equation of the line passing through two given points, you can use the point-slope form of a linear equation, which is:

y - y1 = m(x - x1)

where (x1, y1) represents one of the points on the line, and m represents the slope of the line.

Let's use the points (1, 5) and (2, 0) to find the equation:

First, calculate the slope (m) using the formula:

m = (y2 - y1) / (x2 - x1)

Substituting the coordinates (1, 5) and (2, 0):

m = (0 - 5) / (2 - 1)
m = -5 / 1
m = -5

Next, choose one of the given points, such as (1, 5), and substitute the values of x1, y1, and m into the point-slope form equation:

y - 5 = -5(x - 1)

Simplifying this equation:

y - 5 = -5x + 5

Finally, rearrange the equation to obtain the slope-intercept form:

y = -5x + 5 + 5
y = -5x + 10

Therefore, the equation of the line passing through the points (1, 5) and (2, 0) is y = -5x + 10.