Thus option C : [tex]y = -\dfrac{2}{3}x + 3[/tex] is correct.
Given that:
Equation of considered straight line:
[tex]y = -\dfrac{2}{3}x + 53[/tex]
Let the equation of the straight line that has to be found is given by:
[tex]y = mx + c[/tex]
It is given that the line is parallel to previous straight lines.
Which means that slope of both the lines are same
or
[tex]m = -\dfrac{2}{3}[/tex]
Now since the second line passes through (-3,5), thus we have:
[tex]5 = -\dfrac{2}{3}\times -3 + c\\or\\c = 3[/tex]
Thus the needed equation of straight line is given by:
[tex]y = -\dfrac{2}{3}x + 3[/tex]
Thus option C : [tex]y = -\dfrac{2}{3}x + 3[/tex] is correct.
Learn more here:
https://brainly.com/question/18646991
