The coordinate of the point P is (-11/4, -1/2) option (C) is correct because point (-29/4, -3/2) lies on the line.
What is a straight line?
A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have a line segment shown in the picture:
From the graph:
Point A( -5, -1) and B(4, 1)
The equation of the line passing through the points:
[tex]\rm (y -1 ) = \dfrac{1+1}{4+5}(x-4)[/tex]
9(y - 1) = 2(x - 4)
The above equation shows the straight-line passing through points A and B.
From the graph point (-11/4, -1/2) lies on the line the coordinate of the point P is (-29/4, -3/2)
Thus, the coordinate of the point P is (-11/4, -1/2) option (C) is correct because point (-29/4, -3/2) lies on the line.
Learn more about the straight line here:
brainly.com/question/3493733
