# Find the slope of a line that is perpendicular to a line that passes through the points (7, 1) and (-14, 4)

**Solution:**

**The slope of a line is nothing but the change in y coordinate with respect to the change in x coordinate of that line.**

As we know that the slope of line joining two points (y_{2} - y_{1}) and (x_{2} - x_{1}) is :

m = (y_{2} - y_{1}) / (x_{2} - x_{1})

Here,

the given points are (7, 1) ( -14, 4).

**Calculating slope for thse two given points.**

m_{1 }= 4 - 1 / -14 - 7

= - 3 / 21 = -1/7

Since we know that if the two lines are perpendicular,

their slopes will have a relationship m_{1} × m_{2} = -1

-1/7 × m_{2} = -1

m_{2} = -1 × (-7)

m_{2} = 7

**Hence, the required slope is 7.**

## Find the slope of a line that is perpendicular to a line that passes through the points (7, 1) and (-14, 4)

**Summary:**

The slope of a line that is perpendicular to a line that passes through the points (7, 1) and (-14, 4) is 7.