Question

Which graph has a slope of 4/5?

Answer 1

Second graph

Explanation:

If a graph has a slope of 4/5 that means two things
(1) the graph is sloping upward from left to right

(2) for every 5 units in the positive x direction the change in y units is 5

Slope of a line graph usually denoted by the letter m is computed as follows

`m = (y_2 - y_1)/(x_2 - x_1)`

where (x₁, y₁) and (x₂, y₂) are any two points on the straight line

So to find slopes of each line graph, take the two points indicated in red, compute the difference in y-values and divide this difference by the difference in the corresponding x-values

The correct answer is the second graph

The two points indicated in red are (-1, 1) and (4, 5)
Difference in y values : 5 - 1 = 4
Difference in x values : 4 - (-1) = 4 + 1 = 5

y-values difference / x -values difference = 4/5 which is the slope

You can compute the other slopes in a similar manner

Answer 2

It’s the second graph