Question

Find the slope from the graph.

-1/2


-4/3


3/4


-3/4

Answer 1

Answer: 3/4

Explanation:

To find the slope from the graph, we need to look at the rise and run of the line. The slope is the ratio of the vertical change (rise) to the horizontal change (run).

Let's analyze the given options:

-1/2: This means that for every 2 units the line moves horizontally, it moves down 1 unit vertically.

-4/3: This means that for every 3 units the line moves horizontally, it moves down 4 units vertically.

3/4: This means that for every 4 units the line moves horizontally, it moves up 3 units vertically.

-3/4: This means that for every 4 units the line moves horizontally, it moves down 3 units vertically.

So, from the given options, the slope is 3/4. This indicates that for every 4 units the line moves horizontally, it moves up 3 units vertically.

Remember, the slope of a line is a measure of how steep the line is. It tells us how much the line is rising or falling as we move along the x-axis.

Answer 2

Use the slope formula to solve this question:

The slope formula is as followed:

y₂ - y₁

x₂ - x₁

where (x₁, y₁) and (x₂, y₂) are two sets of coordinates

Pick the two points on the line:

• (0, 5)
• (4, 2)

Now, plug them into the equation and solve:

y₂ - y₁

x₂ - x₁

`(2-5)/(4-0)` =
`(-3)/(4)`

The slope of the line is -3/4