Given:
x=1 y=-3 m=1/2
We need to find the intercept by substituting the above values into y=mx + b and then solve for intercept(b).
That is
-3 = (1/2)(1) + b
-3 = 1/2 + b
subtract 1/2 from both-side of the equation.
-3 - 1/2 = b
[tex]\begin{gathered} \frac{-6-1}{2}=b \\ \\ =-\frac{7}{2}=-3.5 \end{gathered}[/tex]The y-intercept is (0, -7/2)
The equation of the line can be formed by substituting the value of m and b.
That is;
[tex]y=\frac{1}{2}x-\frac{7}{2}[/tex]For the graph, we can just plot this two points;
(1, -3) and (0, -3.5)
Below is the sketch of the graph;
