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A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
Which equation represents a line that passes through (2, -1/2) and has a slope of 3?
y - 2 = 3(x + 1/2)
y - 3 = 2(x + 1/2)
y + 1/2 = 3(x - 2)
y + 1/2 = 2(x - 3)
Solution:
Given, point (2, -1/2)
Slope, m = 3
We have to find the equation of the line passing through the point with slope of 3.
The equation of a line passing through the point and slope of m is given by
\((y-y_{1})=m(x-x_{1})\)
Now, \((y-(-1/2))=3(x-2)\\(y+1/2)=3(x-2)\)
Therefore, the equation of the line is \((y+1/2)=3(x-2)\)
Which equation represents a line that passes through (2, -1/2) and has a slope of 3?
Summary:
The equation of a line that passes through (2, -1/2) and has a slope of 3 is \((y+1/2)=3(x-2)\).
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