Answer:
Step-by-step explanation:
To get the equation in the slope-intercept form first, put the equation in slope-point form using the information given. The slope-point form is . Then solve for y.
Distribute -3 to ,
Then, add -2 to both sides,
This is your final answer; the slope is -3 and the y-intercept is 4. There are also a few other ways to solve but I find this the easiest.
Answer:
#4: (r,t) = (1,6) #5: (x, y) = (-,4) #6: (x, y) = (3, 5) #7: (p, r) = (10,
)
Step-by-step explanation:
#4:
Solve for t.
t = 5 + r
Substitute the given value of t into equation
-2r + 5 + r = 4
Solve for r
r = 1
substitute the given value of r into equation
t = 5 + 1
solve for t
t = 6
solution is ordered pair (r, t) = (1,6)
#5:
Solve for y.
y = 2 - 4x
Substitute the given value of y into equation
2x - (2- 4x) = -5
Solve for x
x = -
substitute the given value of x into equation
y = 2 - 4x (- )
solve for y
y = 4
solution is ordered pair (x, y) = (-,4)
#6:
Solve for x
x = -12 + 3y
Substitute the given value of x into equation
2 (-12 + 3y) + y = 11
Solve for y
y = 5
substitute the given value of y into equation
x = -12 + 3 x 5
solve for x
x = 3
solution is ordered pair (x, y) = (3, 5)
#7
Solve for r
r =
Substitute the given value of into equation
-2p + 3x = -6
Solve for p
p = 10
solution is ordered pair (p, r) = (10, )
Answer:
A
Step-by-step explanation:
We can use the Pythagorean Theorem:
, where a and b are the two legs and c is the hypotenuse.
Plug in what we know: