Slope-intercept form is:
y = mx + b
"m" is the slope, "b" is the y-intercept (the y value when x = 0)
(there is probably another way to do this, but I will be doing it this way)
Isolate the "y" in the equation
3x + 4y = 12 Subtract 3x on both sides
4y = 12 - 3x Divide 4 on both sides
or 
The slope is -3/4
For lines to be parallel, they have to have the SAME slope. The given line's slope is -3/4, so the slope of the parallel line is also 
Answer:
X = 18
y = 9
Step-by-step explanation:
Basically the 2 diagnols bisect each other making them congruent. so that makes
x-3 = 15 and y + 3 = 12
simplify and
the. you simplify and get x = 18 and y =9
Answer:
(e) csc x − cot x − ln(1 + cos x) + C
(c) 0
Step-by-step explanation:
(e) ∫ (1 + sin x) / (1 + cos x) dx
Split the integral.
∫ 1 / (1 + cos x) dx + ∫ sin x / (1 + cos x) dx
Multiply top and bottom of first integral by the conjugate, 1 − cos x.
∫ (1 − cos x) / (1 − cos²x) dx + ∫ sin x / (1 + cos x) dx
Pythagorean identity.
∫ (1 − cos x) / (sin²x) dx + ∫ sin x / (1 + cos x) dx
Divide.
∫ (csc²x − cot x csc x) dx + ∫ sin x / (1 + cos x) dx
Integrate.
csc x − cot x − ln(1 + cos x) + C
(c) ∫₋₇⁷ erf(x) dx
= ∫₋₇⁰ erf(x) dx + ∫₀⁷ erf(x) dx
The error function is odd (erf(-x) = -erf(x)), so:
= -∫₀⁷ erf(x) dx + ∫₀⁷ erf(x) dx
= 0
Answer:
9.25 or 9 1/4
Step-by-step explanation:
