2. select the equation in which the graph of the line has a negative slope, and the y-intercept equals 10.
a. 20x + 5y = 50
b. 10x + 5y = -25
c. 2x + 6y = 10
d. 5x - 10y = -12

3. select the equation that contains the point (-6, 1) and in which the slope equals 1/4
a. y + 1 = 1/4(x − 6)
b. y − 1 = 1/4x + 6
c. y − 1 = 1/4(x + 6)
d. y + 1 = 1/4x − 6

4. select the equation which contains the point (5, -1/2) and has a slope of 4
a. y − 1/2= 4(x +5)
b. y − 1/2=4(x − 5)
c. y + 1/2= 4(x + 5)
d. y + 1/2= 4(x − 5)

2:y=ax+c,where a is the slope and c is y-intercept
Try to arrange the equations,and you will get a and b as correct answers

a,b
3- substitute the point in the equation,and you will find that choice c is the correct answer
c
4-substitute the point in the equation,and you will find that choice d is the correct answer
d

Step-by-step explanation:

2:y=ax+c,where a is the slope and c is y-intercept

Try to arrange the equations,and you will get a and b as correct answers

a,b

3- substitute the point in the equation,and you will find that choice c is the correct answer

c

4-substitute the point in the equation,and you will find that choice d is the correct answer

d

x=27°

y=4 units

Step-by-step explanation:

To find x:

The sum of all the angles in a quadrilateral is 360°. In a rhombus (you know it's a rhombus because it's a quatrilateral where all the sides are congruent), opposite angles are congruent. Because you're given that the measure of ∠T is 127°, you also know that m∠V=127°. You also know that m∠U=m∠S=(2x-1)°.

Using this information, set up an equation.

127+127+(2x-1)+(2x-1)=360

You can just divide both sides by 2 to get:

127+(2x-1)=180

Then, just solve for x.

127+2x-1=180

2x+126=180

2x=54

x=27°

To find y:

All the sides are given to be congruent. That's what the little marks on the sides mean, and that's how we knew it was a rhombus earlier.

So SV=VU=UT=TS

SV=6y-5

VU=3y+7

Since SV=VU:

6y-5=3y+7

Solve for y.

3y=12

y=4

Hope I could help!