Question

What is the slope of the line on the graph?
A. -4/3
B. -3/4
C. 3/4
D. 4/3

Answer 1

Answer: Option B.

Explanation:

The equation of the line is
`y=mx+b`, where m is the slope and b the y-intercept.

As you can see in the graph, the line intersects the y-axis at 1. Then, you can choose to points of the line and susbsitute these vaues into the equation of the line and solve for the slope, as you can see below:

Let's chose (-4,4), then:

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

Answer 2

B

Explanation:

The slope of a line is written as a fraction of the vertical distance to the horizontal distance. The line drops down from (0,1) to (4,-2). This is a vertical distance of -3 and a horizontal distance of 4. The slope is the fraction -3/4.