Which equation represents the line that passes through the points (3-,7) and (3,3)? a) y = 2/3 x + 1 b) y = -2/3 x + 9 c) y = 2/3 x + 9 d) y = - 2/3 x + 5

The equation represents the line that passes through the points (-3,7) and (3,3) is (y = - 2/3 x + 5) and this can be determined by using the two-point slope form.

Given :

The line passes through the points (3-,7) and (3,3).

The following steps can be used in order to determine the equation of a line that passes through the points (-3,7) and (3,3):

Step 1 - The two-point slope form of a line can be used in order to determine the equation of a line that passes through the points (-3,7) and (3,3).

Step 2 - The two-point slope form is given below:

where and are the points on the line.

Step 3 - Substitute the values of the known terms in the above formula.

Step 4 - Simplify the above expression.

6(y - 7) = -4(x + 3)

6y - 42 = -4x -12

6y + 4x = 30

3y = -2y + 15

Therefore, the correct option is D).

For more information, refer to the link given below:

link

The slope-intercept form:

m - slope

b - y-intercept

The formula of a slope:

We have the points (-3, 7) and (3, 3). Substitute:

Put the coordinates of the point (3, 3) to the equation of a line:

     add 2 to both sides

answer by yourhope:

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