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The equation of the line passing through (3,4) and having slope m = 3/2 is y = 3/2x + 4.
Given points : (3,4)
The equation of a line with slope 3/2 and passing through point (3,4) is y = 3/2x + 4. This equation can be used to calculate the y-coordinate of any point on the line, given its x-coordinate. For example, if the x-coordinate of a point is 6, then its corresponding y-coordinate is 11. In general, for any x-coordinate, the corresponding y-coordinate is given by 3/2 times the x-coordinate plus 4.
Given slope : m = 3/2
We know that the equation of a line with slope m and passing through point (x1, y1)is given by :
y - y1 = m(x - x1)
Substituting the given values, we get
y - 4 = 3/2(x - 3)
Simplifying equation, we get
y = 3/2x + 4
Learn more about slope here
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