Question

Which of the following is a true statement about the equation LaTeX: y=-\frac{7}{8}x\:+\:10y = − 7 8 x + 10? Group of answer choices The slope is 10. The slope is LaTeX: -\frac{7}{8} − 7 8 − 7 8 The graph of the equation would pass through the origin. The equation represents a proportional relationship.

Answer 1

Second option: The slope is
`-(7)/(8)`

Explanation:

The equation of the line in Slope-Intercept form is:

`y=mx+b`

Where "m" is the slope of the line and "b" is the y-intercept.

If the line passes through the origin:

`y=mx`

By definition, the graph of a Proportional relationship is a straight line that passes through the origin.

In this case, you have the following Linear equation which is written in Slope-Intercept form:

`y=-(7)/(8)x+10`

You can identify that its slope is:

`m=-(7)/(8)`

And the y-intercept is:

`b=10`

Therefore, you can conclude that this line does not pass through the origin.

Then, the given equation does not represent a proportional relationship.