Question

Please help i don't quite understand this

Answer 1

2/3

Explanation:

the slope of a line is its "magnitude" of inclination, abd it is expressed as (y coordinate change / x coordinate change) when going from 1 point on the line to another point on the same line.

in such a case, where we only have a graph, we try to find 2 points, where we can see that they have round (integer) coordinates.

I see for example the initial point all the way to the left

(0, 50).

and then I see the point (30, 70), where the lines goes seemingly exactly through the intersection point of the coordinate grid lines.

but any other points would work the same way.

we only want to be a sure as possible about the coordinates to keep any reading error as small as possible.

that is the reason why I go for the points on grid intersections.

so, when going from (0, 50) to (30, 70) we see

x changes by +30 (from 0 to 30).

y changes by +20 (from 50 to 70).

so, the slope is +20/+30 = 2/3.

that means for every change of x by 3 units y changes by 2 units. or 30 20. or 300 200. or 6 4. or ...

Answer 2

`\sf Slope =(2)/(3)`

Explanation:

To find the slope, plot any two points on the line.

(0 ,50) & (30,70)

`\sf x_1 = 0 ; \ y_1 = 50\\\\x_2 = 30 ; \ y_2 = 70 \\\\\boxed{\bf Slope =(y_2-y_1)/(x_2-x_1)}`

`\sf =(70 - 50)/(30 - 0)\\\\=(20)/(30)\\\\=(2)/(3)`