Last Friday, East Middle School held a homecoming dance for the seventh-grade and eighth-grade students. In all, 275 students attended the dance. The graph represents how many possible seventh graders and how many possible eighth graders attended the dance. What values will complete the equation for the graph in slope intercept form?

Question

The slope-intercept form of the equation for the line is y=__x + ___

Answer 1

To determine the slope-intercept form of the line (y = mx + b), we'll need some additional information that defines the relationship between the number of seventh graders (x) and eighth graders (y) who attended the dance.

From the context given, we know the total attendance at the dance was 275 students, which can be expressed with the equation: \[ x + y = 275 \]

This can be rearranged into slope-intercept form by solving for \( y \): \[ y = -x + 275 \]

From this equation:

• The slope (m) is -1.
• The y-intercept (b) is 275.

So the complete equation in slope-intercept form is: \[ y = -1x + 275 \]

Thus, the values to complete the equation are: y = -1x + 275 or simply: y = -1x + 275.