Question

Graph the line that represents a proportional relationship between yyy and xxx where the unit rate of change of yyy with respect to xxx is \,\dfrac{10}{7}
7
10
​
start fraction, 10, divided by, 7, end fraction . In other words, a change of 111 unit in xxx corresponds to a change of \,\dfrac{10}{7}
7
10
​
start fraction, 10, divided by, 7, end fraction units in yyy.

Answer 1

Answer:

y = (10/7)*x

Step-by-step explanation:

A line that represents a proportional relationship between y and x has the following form: y = k*x, where k is he unit rate of change of y with respect to x.

Replacing with k = 10/7, we get:

y = (10/7)*x

We can check that a change of 1 unit in x corresponds to a change of 10/7 units in y, replacing with x = 1 into the equation:

y = (10/7)*1

y = 10/7

Answer 2

Answer:

For the graph:

The first point goes on (0,0), or the very center.

The second point goes on (7,10), or on the 7 on the x-axis, 10 on the y-axis.

For the equation:

y = 10/7x

(note: 10/7 is a fraction)

Hope this helps <3