Question

Can somebody please help me figure this out? I think the answer is d

Answer 1

For two lines to be parallel, their slope must be the same.
To find the slope, we can use the form: $\frac{y_1 - y_2}{x_1 - x_2}$

For the top line, the change in height (y value) can be seen as a - 0 or simply a, and the change in base is just -b (because our $x_1$ is just 0, from the origin.

Hence, line 1's gradient is: $-\frac{a}{b}$

Now, we can repeat this process for line 2:
Change in height is -d, change in base is c

Hence, line 2's gradient is: $-\frac{d}{c}$

For the two lines to be parallel, both gradients must be the same: 
$-\frac{a}{b} = -\frac{d}{c}$

Answer 2

Answer:

Answer is -a/b = -d/c

Step-by-step explanation:

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