Answer:
[tex]y = -\frac{5}{2}x +6[/tex]
Step-by-step explanation:
Given
[tex]m = -\frac{5}{2}[/tex] -- slope
[tex](x_1,y_1) = (2,1)[/tex] --- point
Required
Determine the line equation
In slope intercept form, a line equation is:
[tex]y - y_1 = m(x - x_1)[/tex]
This gives:
[tex]y - 1 = -\frac{5}{2}(x - 2)[/tex]
Open bracket
[tex]y - 1 = -\frac{5}{2}x +5[/tex]
Add 1 to both sides
[tex]y - 1+1 = -\frac{5}{2}x +5+1[/tex]
[tex]y = -\frac{5}{2}x +6[/tex]
