Answer:
Inequality is 
Slope intercept form is 
Solutions are 
Graph: attached to the question
Step-by-step explanation:
Given: Group dance numbers last 4 minutes and a solo performance lasts 3 minutes. The maximum duration for the recital is 87 minutes.
To find: inequality (in standard form) that describes the given situation, inequality in slope-intercept form, solutions for the inequality
To graph: the inequality
Solution:
x denotes the number of group dances on the program
y denotes the number of solo numbers on the program
Total duration of group dance numbers =
minutes
Total duration of solo performance =
minutes
According to question,

Slope intercept form of equation is
where m denotes slope of line and c denotes y-intercept of the line.
Slope intercept form of
:

For
,

So,
is a solution of the inequality.
For
,

So,
is a solution of the inequality.
Graph: attached as image