## 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-(9*x-14)=0

### Step 1 :

#### Equation of a Straight Line

1.1 Solve y-9x+14 = 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-9x+14 = 0 and calculate its properties

#### Graph of a Straight Line :

#### Calculate the Y-Intercept :

Notice that when x = 0 the value of y is -14/1 so this line "cuts" the y axis at y=-14.00000

y-intercept = -14/1 = -14.00000#### Calculate the X-Intercept :

When y = 0 the value of x is 14/9 Our line therefore "cuts" the x axis at x= 1.55556

x-intercept = 14/9 = 1.55556#### 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 -14.000 and for x=2.000, the value of y is 4.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 4.000 - (-14.000) = 18.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

Slope = 18.000/2.000 = 9.000### Geometric figure: Straight Line

- Slope = 18.000/2.000 = 9.000
- x-intercept = 14/9 = 1.55556
- y-intercept = -14/1 = -14.00000

## math

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### Alg2

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### Linear Relations MATHS

If A = (-4,6) and B = (6,-7), find: (a) the coordinates of the point P on the line segment AB such that AP:Pb = 3:1 (b) the coordinates of the point P on the line AB such that AP:AB = 3:1 and P is closer to point B than to point A

### math

The line segment joining P(-6,7) and Q(5,-2) intersects the y-axis at the point R.Find the coordinates of R.

### Most Used Actions

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

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intercepts f(x)=y=-9x-14

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## 14 y 9x

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