Question

The line graph shows a direct variation with a unit rate of 1.4. Two of the points the line passes through are (5, 7) and (10, 14).

What is the slope of the line?

Answer 1

slope of the line is m=
`(7)/(5)`

Explanation:

Step 1:-

The slope of the given line

`\frac{y_{2-Y_(1) } }{x_(2) -x_(1) }`

step 2:-

m = frac{7}{5}[/tex]

Answer 2

Answer: slope = 7/5

Explanation:

The line graph is a straight line graph. Two of the points the line passes through are (5, 7) and (10, 14).

The slope, m of the graph is expressed as

m = slope = (change in the value of y in the y axis) / (change in the value of x in the x axis).

Slope = (y2 - y1)/(x2 - x1)

y2 represents final value of y = 14

y1 represents initial value of y = 7

x2 represents final value of x = 10

x1 represents initial value of x = 5

Therefore,

Slope = (14 - 7)/(10 - 5) = 7/5