Write the equation of the line in point-slope form that goes through the point (3, -4) and has a slope of 6.

 y + 4 = 6(x - 3)

The attachment shows the graph of this equation.

Step-by-step explanation:

The basic form for a point-slope equation is

y - b = m(x - a)

a is the x-value from the given coordinate,  b is the y-value form the given coordinate,  m is the slope. x and y are the variables in the function.

The  slope, m,  is given: 6  Substitute for m

Given coordinate points (3,-4)   substitute the x-value in place of a and the y-value in place of  b

Rewrite the equation:  

y - b = m(x - a)   becomes y - (-4) = 6(x - 3)

change - (-4) to +4   We end up with

y + 4 = 6(x - 3)

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