Answer:
Slope: 0
x-intercept: there isnt one
y-intercept: 2
Step-by-step explanation:
the easiest way to look at this is to put it in the form y=mx+b where m is the slope and b is the y intercept. when we just think about what y=2 would look like, we can imagine a straight horizontal line at y=2. No matter what x value you choose, y will always equal 2. We know the slope (m) of any horizontal line is zero because there is no rise and zero divided by anything is going to be zero. we also know if y is always equal to 2 the y intercept will be 2. this would give us y=0x+2. to find the x intercept we just need to set y equal to zero in this equation. this gives us 0=0x+2 or 0=2 which can never be true, therefore there will be no x intercept.
Answer:
Look at the equations:
y
=
−
9
x
−
21
and
y
=
5
x
+
7
Because both equations equal (y), they both equal the same.
If an equations says "
y
=
−
9
x
−
21
" , that means we can replace (y) with
−
9
x
−
21
.
Therefore when i take the equation:
y
=
5
x
+
7
, we can replace (y) to get:
−
9
x
−
21
=
5
x
+
7
Now isolate (x):
−
9
x
−
21
=
5
x
+
7
⇔
−
21
=
14
x
+
7
⇔
−
28
=
14
x
⇔
x
=
−
2
9514 1404 393
Answer:
DE = 86
EF = 84
Step-by-step explanation:
We assume that point E lies on segment DF, so that ...
DE + EF = DF
(3x +20) +(2x +40) = 170
5x = 110 . . . . . . . . . . . . . . . collect terms, subtract 60
x = 22 . . . . . . . . . . . . divide by 5
DE = 3×22 +20 = 66 +20 = 86
EF = 2×22 +40 = 44 +40 = 84
