The point-slope form of the equation of a nonvertical line with slope, m, that passes through the point (x1,y1)

a. ax+by=c

b. y-y1=m(x-x1)

c. y1=mx1+b

d. ax1+by1=c

e. y=mx+b

f. y1-y=m(x-x1)

explain why, if you can. : )

The equation of the line, in point-slope form, is given by:

Option b.

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The equation of a line, in point-slope form, is given by:

In which

A similar problem is given at link

  b. y-y1 = m(x-x1)

Step-by-step explanation:

It's a matter of definition. There are perhaps a dozen useful forms of equations for a line. Each has its own name (and use). Here are some of them.

Adding y1 to the point-slope form puts it in an alternate form that is useful for getting to slope-intercept form faster: y = m(x -x1) +y1. I use this when asked to write the equation of a line with given slope through a point, with the result in slope-intercept form.

518,400

step-by-step explanation:

the area is multiplying all the given measurements together.

40 * 18 * 30 * 24 = 518,400

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below: