## Geometry

### math

Consider the following system of equations. {y = 3x − 5 {y = −x + 7 a. Are the graphs of the two lines intersecting lines, the same line, or parallel lines? Explain your reasoning. b. How many solutions does the system have?

### MATH PLS HELP CHECK ANSWERS

3. What is the rule for the function shown in the table? (1 point) x = -1, 0, 1, 2 y = -2, 1, 4, 7 A.y = 1/3x + 1 B.y = 3x + 1 C.y = 1/3x D.y = 1/2x + 1 4. What is the function rule for the following situation? rex paid $20 for a

### math

Find the slope of the lines that are (a) parallel lines (b) perpendicular lines to the lines passing through the pair of points (3, 4)(2,-1)

### maths

P(6,3), Q(3,7), and R(4,2) are three points in a plane. A is the midpoint of QR and B is the foot of the perpendicular from Q to PR. Find;- (A) the cordinates of A; (B) the equations of the lines PA and QB; (C) the point of

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\mathrm{simplify} | \mathrm{solve\:for} | \mathrm{inverse} | \mathrm{tangent} | \mathrm{line} |

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y^{2}=32x

en

## Properties of a straight line

### Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

y-(32*x)=0

### Step 1 :

#### Equation of a Straight Line

1.1 Solve y-32x = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line y-32x = 0 and calculate its properties

#### Graph of a Straight Line :

#### Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 0/1 so this line "cuts" the y axis at y= 0.00000

y-intercept = 0/1 = 0.00000#### Calculate the X-Intercept :

When y = 0 the value of x is 0/-32 Our line therefore "cuts" the x axis at x=-0.00000

x-intercept = 0/-32 = -0.00000#### Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -0.000 and for x=2.000, the value of y is 64.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 64.000 - -0.000 = 64.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

Slope = 64.000/2.000 = 32.000### Geometric figure: Straight Line

- Slope = 64.000/2.000 = 32.000
- x-intercept = 0/-32 = -0.00000
- y-intercept = 0/1 = 0.00000

While we were resting, my mother told me the conversation that happened between her and her sister after I left. and asked her not to refuse my aunt if she decided to show interest in me. She's so lonely, still young and hasn't slept with a man for a long time.

## 32x y

Then, after the lesson, she also asked to bring everything in, put it in its place. Why is it always me. I ask jokingly.

JAMAS CREISTE JUGARLOS EN TU CASA!!! ARCADE en MEGA DRIVE Parte 3My heart rattled like a rabbit's, and I stopped breathing. Mishkin's hand managed to slip right under the bra, and now his palm was on his chest. My body twitched, I don't know why. I didnt do anything, it just twitched.

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I dont want from anyone. Katya nodded her head in understanding. And we, here, with Kolenka, have been trying for two years.

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