Hello Kayla_N Originally Posted by

**Kayla_N** ...

1. Find the distance of the point

from the line through

which points in the direction of

.

...I still need help on 1. Thanks

The line in the direction $\displaystyle -7\textbf{i}+4\textbf{j}$ has gradient $\displaystyle -\tfrac47$, so its equation is:$\displaystyle y+1=-\tfrac47(x+8)$

i.e. $\displaystyle 7y+1=-4x-32$

i.e. $\displaystyle 4x+7y+33=0$

Now use the formula:Distance of $\displaystyle (x_1,y_1)$ from $\displaystyle ax+by+c=0 =\frac{|ax_1+by_1+c|}{\sqrt{a^2+b^2}}$

to get:$\displaystyle \frac{|32-28+33|}{\sqrt{16+49}}\approx 4.59$

if my working is correct.

Grandad