Question

I need help finding point slope form

Answer 1

We were given two points to find the equation of the line, these are (4,3) and (5,5).

We need to find the point-slope form, which can be writen as follow:

$y-y_1=m\cdot(x-x_1)_{}$

Where (y1,x1) is one point on the line and "m" is the slope of the line. We first need to find the slope:

$m=\frac{y_2-y_1}{x_2-x_1}$

Where (y1,x1) and (x2,y2) are the two known points. We can find the slope by applying the two points given to us:

$m=\frac{5-3}{5-4}=2$

We can know write the expression of the line:

$y-5=2\cdot(x-5)$