Answer:
An equation in the slope-intercept form will be:

Step-by-step explanation:
Given the points
Finding the slope between points




We know that the slope-intercept form of the line equation is

where m is the slope and b is the y-intercept.
substituting the values m=-1/2 and the point (4, -2) to determine the y-intercept i.e. 'b'.




substituting the values m=-1/2 and b=0 to determine the line equation in slope-intercept form


Thus, an equation in the slope-intercept form will be:

Answer: 
Step-by-step explanation:
Given : The number of cherry lollipop = 5
The total number of lollipop = 8
the number of lollipops other than grape =6
The probability of selecting a cherry lollipop is given by :_

The probability of selecting a lollipop other than grape is given by :_

Since, there is replacement , then the events are independent of each other.
Now, the probability that Julie will select a cherry lollipop and then a lollipop other than grape is given by :-

Hence, the required probability =
Answer: They made 6 three point shots.
Step-by-step explanation:
Make your equation
(((6x1)+(27x2)+(3x)=78
Simplify
(6+54+3x=78)
60+3x=78
Subtract from both sides
3x=18
Divide from both sides
x=6
The basketball team scored 6 shots worth 3 points.
Answer:
RS = 30 units
Step-by-step explanation:
Given:
Length (PS) = 
Width (PQ) = 
Perimeter = 134 units
Required:
RS (width)
SOLUTION:
Perimeter of a rectangle = 2(length + width)
Plug in the values into the equation
134 = 2[(4y + 1) + (3y + 3)]
134 = 2[4y + 1 + 3y + 3]
134 = 2[7y + 4]
134 = 14y + 8
Subtract 8 from each side of the equation
134 - 8 = 14y
126 = 14y
Divide both sides by 14.
126/14 = 14y/14
9 = y
y = 9
✍️RS = Width (PQ) = 
Plug in the value of y
RS = tex] 3(9) + 3 [/tex]
RS = tex] 27 + 3 [/tex]
RS = 30