Answer:
6. 3, 2, -4
7. 4, -1, 4, -9
8. -1, 4, -25, 4
Step-by-step explanation:
Well if you need 7 and 8 I can give you 6 as well.
So #6 states that line EF has to be written in slope intercept which is [tex]y=x+b[/tex]
So we have to find the slope which is A and B and the y intercept which is C.
So the y intercept is the point on the y axis which is E. So E is -4.
So the y intercept is -4.
Now for the slope. We can find the slope by seeing how far each points are way from each other which is [tex]\frac{3}{2}[/tex].
So our equation is y = 3/2x - 4.
So the values of ABC are 3, 2, and -4.
Now we have to do #7.
So #7 states GH needs to be written in point-slope form.
So in the question we have to find ABCD and the equation is [tex]y+A=\frac{B}{C}(x+D)[/tex] So BC is the slope A is a y coordinate and D is a x coordinate. So to find the slope we do the same thing find how far away each points are from each other, so the slope is -1/4.
Now since this is point slope form we don’t need the y intercept but we do need the coordinations on one point.
We can use G which is (-9,4). So A is the y coordinate which is 4 and D is -9.
So the equation is [tex]y+4=-1/4(x -9)[/tex].
So ABCD are 4, -1, 4, -9.
Time for the last one #8.
So #8 states GH needs to be written in slope intercept form.
And you might think that this will be long and boring but you can actually put slope-point form into slope intercept form by combining like terms, distribution, and putting y by itself.
So in point slope form it is [tex]y+4=-1/4(x -9)[/tex] and look at the image below to see how I got [tex]y=\frac{-1}{4}x-\frac{25}{4}[/tex].
So ABCD is -1, 4, -25, 4.
