Answer:
Step-by-step explanation:
The equation of a line in
point-slope form
is.
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
∣
∣
∣
2
2
y
−
y
1
=
m
(
x
−
x
1
)
2
2
∣
∣
∣
−−−−−−−−−−−−−−−−−−−−−−
where m represents the slope and
(
x
1
,
y
1
)
a point on the line
here
m
=
−
2
and
(
x
1
,
y
1
)
=
(
3
,
0
)
⇒
y
−
0
=
−
2
(
x
−
3
)
⇒
y
=
−
2
(
x
−
3
)
←
in point-slope form
True y=2x+1 and y-3x=4 it would be the same way because you can solve for x and you can solve for y
Answer:
Question 1: y = 3/4x + 1/4.
Question 2: y = 6/5x + 7/5.
Step-by-step explanation:
Question 1: A line perpendicular to another line would have a slope that is the negative reciprocal of the other line. If the slope of the first line is -4/3, the slope of a line perpendicular to the first would have a slope of 3/4.
Since the line goes through (5, 4), we can just put the points into the equation, y = 3/4x + b.
4 = 3/4(5) + b
b + 15/4 = 4
b = 16/4 - 15/4
b = 1/4
So, the equation of the line is y = 3/4x + 1/4.
Question 2: 5x + 6y = -6
6y = -5x - 6
y = -5/6x - 1
As stated before, a line perpendicular to another will have a slope that is the negative reciprocal of the other. So, the slope of the other line is 6/5.
The line goes through (-2, -1), so we can put the points into the equation, y = 6/5x + b.
-1 = 6/5(-2) + b
b - 12/5 = -5/5
b = -5/5 + 12/5
b = 7/5
So, the equation of the line is y = 6/5x + 7/5.
Hope this helps!
By factoring, x equals both -5 and 7.
Answer:
x ≤ $12 a day
Step-by-step explanation:
5000-1400=3600
3600/300=12
