Y = mx + b is the slope-intercept form of the equation of a line,
where m = slope, and b = y-intercept.
In problems 1 and 3, your equations are written in the y= mx + b form, so you can read the slope and y-intercept directly.
1.
m = -5/2
b = -5
3.
m = -1
b = 3
5.
For problem 5, you need to solve for y to put the equation
in y = mx + b form. Then you can read m and b just like we did
for problems 1 and 3.
4x + 16y = 8
16y = -4x + 8
y = -4/16 x - 8/16
y = -1/4 x - 1/2
m = -1/4
b = -1/2
Answer:
Please check the explanation.
Step-by-step explanation:
Given that
|v|=38
Ф = 120°
<u>Finding the horizontal component</u>
The horizontal component can be obtained using the formula
Vx = |v| cos Ф
= 38 cos 120°
= 38 (-0.5)
= -19
Thus, the horizontal component is:
Vx = -19
<u>Finding the vertical component</u>
The vertical component can be obtained using the formula
Vy = |v| sin Ф
= 38 sin 120°
= 38 (0.86)
= 32.68
Thus, the vertical component is:
Vy = -19
- A vector 'v' with magnitude |v| and direction Ф can be written as:
v = |v| cos Ф i + |v| sin Ф j
As
|v|=38
Ф = 120°
Thus, the vector is
v = 38 cos 120° i + 38 sin 120° j
or
v = -19 i + 32.68 j
Answer:
x + 3y = -12
Step-by-step explanation:
y = mx + b
m is the slope = rise / run:
rise = 1
run = 3
the line is downhill so its negative
m = - 1 / 3
b is the y intercept which is when the line cross over the y axis: - 4
y = - 1/3x - 4
multiply both sides by 3
3y = -1x - 12
add x to both sides
x + 3y = -12
I think it is 24...Im not sure tho