n
y
=
−
x
−
4
To find the x-intercept, substitute in
0
for
y
and solve for
x
.
0
=
−
x
−
4
Solve the equa
−
x
−
4
=
0
.
−
x
−
4
=
0
Add
4
to both sides of the equation.
−
x
=
4
Multiply each term in
x
=
−
4
by
−
1
x
=
−
4
To find the y-intercept, substitute in
0
for
x
and solve for
y
.
y
=
−
(
0
)
−
4
Simplify
−
(
0
)
−
4
.
Multiply
−
1
by
0
.
y
=
0
−
4
Subtract
4
from
0
.
y
=
−
4
These are the
x
and
y
intercepts of the equation
y
=
−
x
−
4
.
x-intercept:
(
−
4
,
0
)
y-intercept:
(
0
,
−
4
)
not too sure
Answer:
y=4x-27
Step-by-step explanation:
Parallel lines have the same slope, so lets use 4 as the slope.
Plug in the slope, and the two points into point-slope form to find the y-intercept:
<u>y+3=4(x-6)</u>
1) Distribute the 4 to x and -6:
y+3=4x-24
2) Subtract 3 from both sides:
y=4x-27
Answer:
x = 5, 2
Step-by-step explanation:
x^2 = 7x - 10
x^2 -7x + 10 = 0
(x - 2)(x - 5) = 0
x = 5, 2
<h2>The solution is (x, y) = (-3, -1)</h2>
<em><u>Solution:</u></em>
<em><u>Given, system of equations are:</u></em>
-3 - x = 0 --------- eqn 1
-3y = -3 - 2x -------- eqn 2
From eqn 1,
- 3 - x = 0
<h3>x = -3</h3>
<em><u>Substitute x = -3 in eqn 2</u></em>
-3y = - 3 - 2(-3)
-3y = -3 + 6
-3y = 3
<h3>y = -1</h3>
Thus the solution is (x, y) = (-3, -1)
Answer:
150 miles
Step-by-step explanation:
In this problem, we are only interested in the distance that Lauren drove, this means that her average speed (75 mph to the cost, and 25 mph on the way back) does not matter since the distance remains the same. If one leg of trip is 75 miles long, the total mileage for the round trip is:
Lauren drove 150 miles.
