Answer:
y = -4/5 x - 6
Step-by-step explanation:
First turn both standard form equations to slope-intercept form.
4x + 5y = 10 -3x - 4y = 24
-4x -4x +3x +3x
5y = -4x + 10 -4y = 3x + 24
5 5 -4 -4
y = -4/5 x + 2. y = -3/4 x - 6
Now that you have each in slope-intercept form, we can begin the magic.
So we know that this line's y-intercept will be -6.
Not to mention since it's parallel, that means it will share the same slope as y = -4/5 x + 2, which the slope is -4/5. All together it will be
y = -4/5 x - 6. Now we can graph the line's to see if we we're right. (Look at graphs, attached above⤴⤴⤴) As you can see they are parallel.
Hope this helped :)
