What is the equation of the line, in slope-intercept form, that passes through (4, 2) and (-2, -3)? 5x - 6y - 8 = 0 3y = -2x + 20 y = x -

y = 5/6x - 4/3

Use the slope formula y2 - y1

                                      x2 - x1

-3 - 2     -5      5

=   =

-2 - 4      -6      6

The slope is 5/6.

To get the y - intercept you substitute one of the coordinate points. m is the slope.

y = mx + b

2 = 5/6(4) + b

2 = 10/3 + b

-10/3 -10/3

-4/3 = b

Check:

2 = 5/6(4) + (-4/3)

2 = 10/3 + (-4/3)

2 = 2

the last choice

step-by-step explanation:

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: