Answer:
Step-by-step explanation:
2y + 4 = 0 <em>subtract 4 from both sides</em>
2y = -4 <em>divide both sides by 2</em>
y = -2
The slope-intercept form of an equation of a line:
y = mx + b
m<em> - slope</em>
b<em> - y-intercept → (0, </em><em>b</em><em>)</em>
In the equation
y = -2
<em>slope: </em><em>m = 0</em>
<em>y-intercept: </em><em>b = -2 → (0, -2)</em>
<em />
<em>y = -2 - it's a horizontal line</em>
A. The value y-intercept represent in the context of the problem is 50.
B. The slope of the line is -10.
C. The equation to represent the line is y= -10x+50.
D. The number of customers in the restaurant at 8:30pm is 35.
<u>Step-by-step explanation:</u>
The equation of the line is given by y=mx+c.
y is the number of customers and x is the hours.
7.00 p.m. is considered as 0.
To find the slope m =
.
.
From the graph, choose two points. Let us take (0,50) and (4,10).
m=-10.
∴The equation can be written as y= -10x+c.
To find the y-intercept value c, substitute any point.
Let us substitute(0,50) for instance,
50=0+c.
c=50.
The equation for the given graph is y= -10x+50.
To find the customers at the restaurant at 8.30 pm.
we know that x=0 at 7.00 pm,
∴ x=1.5 can be considered as 8.30 pm.
Substitute x=1.5 in the line equation.
y= -10(1.5)+50.
y= -15-50.
y= 35.