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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Answer:
d(P,Q) = 5.83 units
Mid-point = (23.5,25.5)
Step-by-step explanation:
Given points are:
P(21,24) = (x1,y1)
Q(26,27) = (x2,y2)
The distance formula is given by:
Here (x1,y1) are the coordinates of first point and (x2,y2) are coordinates of second point.
Putting the given values in the formula
Rounding off: 5.83 units
The mid-point of two points is given by the formula:
Putting the values:
Hence,
d(P,Q) = 5.83 units
Mid-point = (23.5,25.5)
Answer:
x = 18
Step-by-step explanation:
5(x - 8) = 50
Divide both sides by 5.
x - 8 = 10
Add 8 to both sides.
x = 18
Answer:
y = - 0.5
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