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

Answer:

Second option: The slope is $-\frac{7}{8}$

Step-by-step 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:

$y=-\frac{7}{8}x+10$

You can identify that its slope is:

$m=-\frac{7}{8}$

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.