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:
[tex]\dfrac{y-y_1}{x-x_1}=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
where [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are the points on the line.
Step 3 - Substitute the values of the known terms in the above formula.
[tex]\dfrac{y-7}{x+3}=\dfrac{3-7}{3+3}[/tex]
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:
https://brainly.com/question/2564656
