Question

Plzzzz help with atleast 1question❤️

Answer 1

Answer:

4) 3, -2, -8

5) -7

6) E

7) D

8) 5, -1, 34

Step-by-step explanation:

4) There are at least two prominent points on line EF: (0, -4) and (6, 5). From there, we can find the slope-intercept formula of it.

The slope: (5 + 4) / (6 - 0) = 9 / 6 = 3 / 2

The intercept: (0, -4)

So, we have y = 3/2x - 4.

-3/2x + y + 4 = 0

Multiply every term by 2.

-3x + 2y + 8 = 0.

But the question asks for A to be >0! Multiply everything by -1.

3x - 2y - 8 = 0

So, the values of A, B, and C, respectively, are 3, -2, -8.

5) There are at least two prominent points on line GH: (-9, 4) and (-1, 2). From there, we have...

The slope: (4 - 2) / (-9 + 1) = 2 / -8 = -1/4

y = -1/4x + b

2 = (-1/4 * -1) + b

2 = (1/4) + b

b = 1.75; or 1 and 3/4; or 7/4.

Then, we have our intercept: 7/4.

We have an equation in slope-intercept form: y = -1/4x + 7/4

1/4x + y - 7/4 = 0

Multiply everything by 4.

x + 4y - 7 = 0.

The value of C is -7.

6) Lines that are parallel to the y-axis are vertical lines, which means that the x-values never change. We are looking for an equation where x = 3. That is code letter E.

7) Lines perpendicular to the y-axis are horizontal lines, which means that the y-values never change. We are looking for an equation where y = -5. That is code letter D (y + 5 = 0; y = -5).

8) A line parallel to 5x - 8y + 12 = 0 would have the same slope as it.

5x - 8y + 12 = 0

-8y = -5x - 12

y = 5/8x + 3/2

So, the line should have a slope of 5/8.

3 = (5/8) * (-2) + b

3 = -10/8 + b

3 = -5/4 + b

b = 3 + 5/4

b = 4 and 1/4; 17/4.

y = 5/8x + 17/4

-5/8x + y - 17/4 = 0

Multiply all terms by 8.

-5x + y - 34 = 0

Multiply all terms by -1.

5x - y + 34 = 0.

The values of A, B, and C, respectively, are 5, -1, 34.

I REALLY hope this helps because my brain kinda hurts now XD Have a great day!