Respuesta :
Answer:
The equation of the line is [tex]y=\frac{1}{3}x-2[/tex].
Step-by-step explanation:
Given : The graph of a line passes through the points (0, -2) and (6, 0).
To find : What is the equation of the line?
Solution :
Let the points [tex](x_1,y_1)=(0,-2)[/tex] and [tex](x_2,y_2)=(6,0)[/tex]
The general form of the equation of the line is
[tex](y-y_1)=m(x-x_1)[/tex]
Where, m is the slope of lime
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\frac{0-(-2)}{6-0}[/tex]
[tex]m=\frac{2}{6}[/tex]
[tex]m=\frac{1}{3}[/tex]
Substitute points and slope in the formula,
[tex](y-(-2))=\frac{1}{3}(x-0)[/tex]
[tex]y+2=\frac{1}{3}x[/tex]
[tex]y=\frac{1}{3}x-2[/tex]
Therefore, The equation of the line is [tex]y=\frac{1}{3}x-2[/tex].
