Question

What is the slope of line a?

Answer 1

Answer: The slope of the line a is 3/4

Explanation:

1. The equation of the line has the following form:

`y=mx+b`

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:

`4=m(4)+1\\4-1=4m\\3=4m\\m=(3)/(4)`