Answer:

Step-by-step explanation:
To start, you need to find the equation of both of these lines. For the orange one, the slope can be found with the points (-5,0) and (0,-4), where there is a drop of 4 for a run of 5. This is a slope of -4/5, and a y-intercept of -4. For the purple line, you can use the points (-2,0) and (0,1), where there is a rise of 1 for a run of 2 or a slope of 1/2 and a y intercept of 1. Therefore, the two equations are:


You can now set them equal to each other:

Add 4 to both sides:

Multiply both sides by 2:

Multiply both sides by 5:

Subtract 5x from both sides:

Divide both sides by -13:


Hope this helps!
-0.5
Hope this helps, explanation is in image :)
The correct answer is option A which is the distance between A and D will be AD =
.
<h3>What is coordinate geometry?</h3>
A coordinate plane is a 2D plane which is formed by the intersection of two perpendicular lines known as the x-axis and y-axis.
The formula utilised to find the distance between two points is;-
X = 
We have the coordinates of the point A = (0, 0) and D is (0, b).By applying the formula to find the distance between A and D.
AD =
.
Therefore the correct answer is option A which is the distance between A and D will be AD =
.
To know more about Coordinate geometry follow
brainly.com/question/18269861
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Y=-1/2+1
Hope this helps :)