Answer:
b. [tex]y=-2.5x+6[/tex]
Step-by-step explanation:
Given:
y-intercept = (0,6)
Line passes through point (2,1)
To find equation of line.
Using the two points given, we can find slope of line which is given as:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
where [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] lie on the line.
So, the slope of line with points (0,6) and (2,1) can be found out as:
[tex]m=\frac{1-6}{2-0}[/tex]
[tex]m=\frac{-5}{2}[/tex]
∴ [tex]m=-2.5[/tex]
The slope intercept equation of line is given as:
[tex]y=mx+b[/tex]
[tex]m\rightarrow[/tex] slope of line
[tex]b\rightarrow[/tex] y-intercept.
For the given line:
[tex]m=-2.5[/tex]
[tex]b=6[/tex]
Equation of line will be:
[tex]y=-2.5x+6[/tex] (Answer)
