Question

Write an equation in point slope form of the line that passes through the given point and has the given slope (7,-6);m=1/2

Answer 1

The equation of line is:

$y = \frac{1}{2}x-\frac{19}{2}$

Further explanation:

The general form of point-slope equation is:

$y = mx+b$

It is given that m = 1/2

Putting in the value of m

$y = \frac{1}{2}x+b$

We have to find the value of b so putting the value of x and y

(x,y) = (7,-6)

$-6 = \frac{1}{2}(7)+b\\-6 = \frac{7}{2} +b\\b = -6-\frac{7}{2}\\b = \frac{-12-7}{2}\\b = \frac{-19}{2}$

Putting the values of b and m in general form

$y = \frac{1}{2}x-\frac{19}{2}$

Keywords: Equation of line, point-slope form

Learn more about point-slope form of equation of line at:

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