Answer:
is in proportion.
is not in proportion.
is in proportion.
is in proportion.
Step-by-step explanation:
The first example is
and it is in proportion.
This is because, you will get the same simplest fraction (
) from the fraction
by dividing its numerator and denominator by 5.
The second example is
and it is not in proportion.
This is because, you can not get the simplest fraction (
) from the fraction
after simplification.
The third example is
and it is in proportion.
This is because, you will get the same simplest fraction (
) from the fraction
by dividing its numerator and denominator by 2 and from the fraction
by dividing its numerator and denominator by 3.
The fourth example is
and it is in proportion.
This is because, you will get the same simplest fraction (
) from the fraction
by dividing its numerator and denominator by 5. (Answer)
Answer:
4b. −6x + y = −4
4a. 7x + 4y = −12
3b. y = ½x + 3
3a. y = −6x + 5
2b. y + 2 = −⅔(x + 3)
2a. y - 3 = ⅘(x - 5)
1b. y = -x + 5
1a. y = 5x - 3
Step-by-step explanation:
4.
Plug the coordinates into the Slope-Intercept Formula first, then convert to Standard Form [Ax + By = C]:
b.
2 = 6[1] + b
6
−4 = b
y = 6x - 4
-6x - 6x
_________
−6x + y = −4 >> Standard Equation
a.
4 = −7⁄4[-4] + b
7
−3 = b
y = −7⁄4x - 3
+7⁄4x +7⁄4x
____________
7⁄4x + y = −3 [We do not want fractions in our Standard Equation, so multiply by the denominator to get rid of it.]
4[7⁄4x + y = −3]
7x + 4y = −12 >> Standard Equation
__________________________________________________________
3.
Plug both coordinates into the Slope-Intercept Formula:
b.
5 = ½[4] + b
2
3 = b
y = ½x + 3 >> EXACT SAME EQUATION
a.
−1 = −6[1] + b
−6
5 = b
y = −6x + 5
* Parallel lines have SIMILAR <em>RATE OF CHANGES</em> [<em>SLOPES</em>].
__________________________________________________________
2.
b. y + 2 = −⅔(x + 3)
a. y - 3 = ⅘(x - 5)
According to the <em>Point-Slope Formula</em>, <em>y - y₁ = m(x - x₁)</em>, all the negative symbols give the OPPOSITE TERMS OF WHAT THEY REALLY ARE, so be EXTREMELY CAREFUL inserting the coordinates into the formula with their CORRECT SIGNS.
__________________________________________________________
1.
b. y = -x + 5
a. y = 5x - 3
Just write out the Slope-Intercept Formula as it is given to you.
I am joyous to assist you anytime.
Answer:
ur not dumb dw
Step-by-step explanation:
a) 5/6x+8
b)-3/4x-2