Slope is -4 and (1,6) is on the line, in standard form

4x + y = 10

Step-by-step explanation:

The point-slope form of the equation of a straight line is y - k = m(x - h).

Letting m = -4, 1 = h and 6 = k, we get                               y - 6 = -4(x - 1).

Now we must rewrite this in standard form.  Do this:  Carry out the multiplication.  We get y - 6 = -4x + 4.

Now add 6 to both sides, obtaining

                                         y = -4x +10

Finally, add 4x to both sides, obtaining:

                                          4x + y = 10.  This is the desired equation in standard form.

4x + y = 10

Step-by-step explanation:

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step-by-step explanation: