Point-slope equation of a straight line:
y − y1 = m ( x − x1 )
In this case:
x1 = - 3 , y1 = 2
y − 2 = 1/3 [ x − ( - 3) ]
y − 2 = 1/3 ( x + 3 )
y − 2 = 1/3 x + 1
Add 2 to both sides
y = 1/3 x + 3
a line passes through the point (-3,2)and has a slope of 1/3.which of the following points also lies on this line?
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y=1/3x+3
The equation of the line that passes through the point (-3,2) and has a slope of 1/3 is:
y = 1/3 x + 3
To check if a point lies on this line, we simply substitute the x and y values of the point into the equation and see if it is a true statement.
For example, let's check if the point (0,3) lies on this line:
y = 1/3 x + 3
3 = 1/3(0) + 3
3 = 3
Since this is a true statement, the point (0,3) lies on the line.
y = 1/3 x + 3
To check if a point lies on this line, we simply substitute the x and y values of the point into the equation and see if it is a true statement.
For example, let's check if the point (0,3) lies on this line:
y = 1/3 x + 3
3 = 1/3(0) + 3
3 = 3
Since this is a true statement, the point (0,3) lies on the line.
2 answers