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.