Question

Please help me with this math problem.

Answer 1

Answer:

$y+1=\frac{4}{3} \,(x-9)$

Step-by-step explanation:

The point-slope form of a line uses explicitly the coordinates $(x_1,y_1)$of a point it goes through, and the slope "m" the line has, in the form:

$y-y_1=m\,(x-x_1)$

So, in this case, they give you the point (9,-1) which means that $x_1=9$, and $y_1=-1$, while the slope $m=\frac{4}{3}$

Therefore, making use of the general form given above, we replace the general form parameters with the given values:

$y-y_1=m\,(x-x_1)\\y-(-1)=\frac{4}{3} \,(x-9)\\y+1=\frac{4}{3} \,(x-9)$