The slope intercept form of the line whose points are (1,5) and (-2,-4) is y=3x+2.
Given two points of a line (1,5) and (-2,-4).
We have to form an equation in slop intercept form.
Equation is relationship between two or more variables which are expressed in equal to form.Equations of two variables looks like ax+by=c.
Point slope form of an equation is y=x+mc where m is slope of the line.
From two points the formula of equation is as under:
(y-
)=
*(x-
)
where 
are the points.
Putting the values of =1, 
=-2, =5 and 
=-4.
y-5=(-4-5/-2-1)*(x-1)
y-5=-9/-3*(x-1)
y-5=3(x-1)
y-5=3x-3
y=3x-3+5
y=3x+2
Hence the slope intercept form of the line having points (1,5)(-2,-4) is y=3x+2.
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Answer: 163/27
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
3x + -1/9 = 18
Step 2: Add 1/9 to both sides.
3x + -1/9 + 1/9 + = 18 + 1/9
3x = 163/9
Step 3: Divide both sides by 3.
3x/3 = 163/9 over 3
x = 163/27
Answer:
D) The total number of people in the population.
Step-by-step explanation:
The answer is D) The total number of people in the population. because it is a quantitative data measurement. All other options, Age, Gender and Education are qaualitative measures, which are aligned with the Objective of the study, Wealth - A qualitative measure too!
Let there be 2x science and 5x art books
<span>science books sold = 2x × 0.2 = 0.4x </span>
<span>science books unsold = 2x – 0.4x = 1.6x </span>
<span>art books sold = 5x × 0.2 = x </span>
<span>art books unsold = 5x – x = 4x </span>
<span>total books unsold = 1.6x + 4x = 5.6x </span>
<span>5.6x = 2240 </span>
<span>x = 400 </span>
<span>2x science = 800 </span>
<span>and 5x art books = 2000 </span>
Answer:
61
Step-by-step explanation:
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