Question

Find the equation for the line through points (7,5) and (9,4) use y=Mx+b

Answer 1

Let calculate the slope

$M=\frac{y2-y1}{x2-x1}=\frac{4-5}{9-7}$

So,

$M=-\frac{1}{2}$

Now for b

$b=y-Mx$

Using (7,5),

$b=5+\frac{1}{2}(7)\rightarrow b=\frac{17}{2}$

The equation of the line that passes through the points

$y=-\frac{1}{2}x+\frac{17}{2}$