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

(1 point)
The slope-intercept form of the equation for the line is y=
y
=
x+
x
+

Answer 1

To find the slope-intercept form of the line that represents the number of seventh graders (y) and eighth graders (x) who attended the dance, we will use the information given: the total number of students, \(y + x = 275\).

Rearranging this equation to slope-intercept form (which is \(y = mx + b\)) involves solving for \(y\):

1. Start with the equation: \[ y + x = 275 \]

2. Subtract \(x\) from both sides: \[ y = -x + 275 \]

Now, we can summarize the components of the equation in slope-intercept form:

• The slope (m) is -1 (since the coefficient of \(x\) is -1).
• The y-intercept (b) is 275.

Thus, the equation in slope-intercept form is: \[ y = -x + 275 \]

So the final statement would be:

• The slope-intercept form of the equation for the line is \(y = -x + 275\).