Given the graph of a line
We will write the slope-intercept form of the equation of the line
AS shown, the line passes through the points (0, 3) and (-1, 0)
The equation of the line is: y = m * x + b
Where (m) is the slope of the line
(b) is the y-intercept
The slope of the line =
![slope=m=(rise)/(run)=(y_2-y_1)/(x_2-x_1)=(0-3)/(-1-0)=(-3)/(-1)=3](https://img.qammunity.org/2023/formulas/mathematics/college/6zj62wfmyaktuuckldei6bwbnzv8tz5qk3.png)
the value of (b) = y-interept = the value of (y) when (x=0)
So, b = 3
So, the equation of the line will be:
![y=3x+3](https://img.qammunity.org/2023/formulas/mathematics/high-school/jjvcfbwvvxaaw8p245pig3k6axj34la02l.png)