Considering the definition of a line, the equation of the line that passes through the point (-2, 1) and has a slope of 1/3 is y= 1/3x + 5/3.
<h3>Linear equation</h3>
A linear equation o line can be expressed in the form y = mx + b
where
- x and y are coordinates of a point.
- m is the slope.
- b is the ordinate to the origin and represents the coordinate of the point where the line crosses the y axis.
<h3>Line in this case</h3>
In this case, you know:
- The line has a slope of 1/3.
- The line passes through the point (-2, 1).
Substituting the value of the slope m, you get:
<u><em>y= 1/3x + b</em></u>
Replacing the value of the point in previous expression, the value of the ordinate to the origin b can be obtained:
1= 1/3× (-2) + b
1= - 2/3 + b
1 + 2/3= b
<u><em>5/3= b</em></u>
Finally, the equation of the line is y= 1/3x + 5/3.
Learn more about equation of a line:
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6-5x=3x
-5x-3=-6
-8=-6
x=-6/-8
= 3/4 or 0.75
Answer:
$695
Step-by-step explanation:
Her salary can be shown through the following linear equation
salary=.08x+335
Where x is the amount of sales
To find her salary if she sells 4500 worth of merchandise you just simply need to plug 4500 in for x this means that
salary=.08*4500+335
I get $695
Answer:
441
Step-by-step explanation:
Answer:
x = 1 ±
/ 4
Step-by-step explanation:
= 0
Use the quadratic formula:
x = 1 ±
/ 4
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