1. What is an equation of a line, in point-slope form, that passes through (1,-7) and has a slope of -2/3?
Point Slope form y − y1 = m(x − x1)
Y1: -7 x1:1 slope :-2/3
Y-(-7)=-2/3(x-1)
Y+7=-2/3(x-1)
2. What is the equation of a line, in point-slope form, that passes through (-2,-6) and had a slope of 1/3?
Y-(-6)=1/3(x-(-2))
Y+6=1/3(x+2)
3.What is an equation in point-slope form of the line that passes through the points (4,5) and (-3,-1)
SlopeM: =change in y/change in x
M= -1-5/-3-4
M= -6/-7
M=6/7
So now slope:6/7, point (4,5)
Y-y1=m(x-x1)
Equation in point slope
Y-5=6/7(x-4)
Less than 1 cup because 48 divided by 7 equals 6.85
Answer:
The answer is three
Step-by-step explanation:
The formula to find the area is the width times the length. The area of the big rectangle is three times more than the smaller rectangle.
Answer: y=3/2x
Step-by-step explanation:
First, to find the equation, we can figure out that the cost depends on how many tickets are bought. We can use cost as our y and # of tickets as our x.
An equation in slope intercept form is as follows:
y=mx+b
To get our slope, we must figure out the relationship between the cost and the number of tickets, or the y and the x.
We can use the slope formula,
, to find the slope, m.
= 
Thus, the slope of the equation is 3/2, making our final equation be y=3/2x.
Answer:
Step-by-step explanation:
<u>According to the model, the equation is:</u>
Based on the equation, the initial number of insects is 3450
<u>If b = 1.75, daily growth rate is:</u>
<u>If we get P(4) = 55200, find the value of b:</u>
- 55200 = 3450*b⁴
- b⁴ = 55200/3450
- b⁴ = 16
- b⁴ = 2⁴
- b = 2