Question

On a coordinate plane, the graph of a line passes through the origin and the point (10,14). What is the equation of the line?

A. y = 5/7x

B. y = 7/5x

C. y = x + 5/7

D. y = x + 7/5

​

Answer 1

If the line goes through the origin we know that the y-intercept is not 0. Thus answer choices C and D are out. Let us find the slope of the line to identify the right equation.

Using the points (0,0) and (10,14)...

slope=change in y/change in x=(14-0)/(10-0)=7/5

answer: B

Answer 2

The equation of the proportional graph that passes through the origin and (10, 14) is: y = 7/5x.

What is the Equation of a Proportional Graph?

A graph is proportional if the line passes through the origin. The equation of the proportional graph is represented as: y = mx, where m = y/x.

Given the point, (10, 14), find m:

m = y/x = 14/10

m = 7/5

Plug in the value of m into y = mx:

y = 7/5x

Therefore, the equation of the proportional graph that passes through the origin and (10, 14) is: y = 7/5x.

Learn more about proportional graph on:

https://brainly.com/question/23318486