Question

Is AB parallel to Bo? Explain.

Yes, because both lines have a slope of
of
o Yes, because both lines have a slope of
O No, because the slopes of the lines are not equal.
No, because the slopes of the lines are not opposite
reciprocals of each other.

Answer 1

AB parallel to CD because both lines have a slope of

of 4/3

Explanation:

The question is not complete, there is no graph.

A graph for the question is attached below.

From the image attached below, line 1 passes through points A = (-3, -3) and point B = (0, 1) while line 2 passes through point C = (0, -5) and point D = (3, -1).

Two parallel are said to be parallel if the have the same slope. The slope of a line passing through points:

`(x_1,y_1)\ asnd\ (x_2,y_2).\ The\ slope \ is\ given\ as:\\\\Slope(m)=(y_2-y_1)/(x_2-x_1)`

Line 1 passes through points A = (-3, -3) and point B = (0, 1), the slope of line 1 is:

`Slope(m)=(y_2-y_1)/(x_2-x_1)=(1-(-3))/(0-(-3))=(1+3)/(0+3)=(4)/(3)`

Line 2 passes through point C = (0, -5) and point D = (3, -1). the slope of line 2 is:

`Slope(m)=(y_2-y_1)/(x_2-x_1)=(-1-(-5))/(3-0)=(-1+5)/(3)=(4)/(3)`

Therefore AB parallel to CD because both lines have a slope of

of 4/3