Answer: The slope of the line a is 3/4
Step-by-step explanation:
1. The equation of the line has the following form:
[tex]y=mx+b[/tex]
Where m is the slope and b is the y-intercept.
2. As you can see in the graph attached, the line intersect the y-axis at 1, therefore:
b=1
3. So, to calculate the slope, susbtitute: the value of b into the equation of the line and any point of the line and then solve for the slope:
Let's pick the point (4,4), then the slope is:
[tex]4=m(4)+1\\4-1=4m\\3=4m\\m=\frac{3}{4}[/tex]
