The graph of a line passes through the points (0, -2) and (6, 0). What is the equation of the line?
Answer:
The equation of the line is \(y=\frac{1}{3}x-2\).
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 \((x_1,y_1)=(0,-2)\) and \((x_2,y_2)=(6,0)\)
The general form of the equation of the line is
\((y-y_1)=m(x-x_1)\)
Where, m is the slope of lime
\(m=\frac{y_2-y_1}{x_2-x_1}\)
\(m=\frac{0-(-2)}{6-0}\)
\(m=\frac{2}{6}\)
\(m=\frac{1}{3}\)
Substitute points and slope in the formula,
\((y-(-2))=\frac{1}{3}(x-0)\)
\(y+2=\frac{1}{3}x\)
\(y=\frac{1}{3}x-2\)
Therefore, The equation of the line is \(y=\frac{1}{3}x-2\).