### Question Description

line l passes through (15,-4) and line p is the graph of 5x-3y=7

## Final Answer

#### Equation at the end of step 1 :

5x - 3y - 7 = 0

## Step 2 :

Solve 5x-3y-7 = 0

#### Equation of a Straight Line

2.1 Solve 5x-3y-7 = 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 5x-3y-7 = 0 and calculate its properties

#### Graph of a Straight Line :

download.png#### Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 7/-3 so this line "cuts" the y axis at y=-2.33333

y-intercept = 7/-3 = -2.33333

#### Calculate the X-Intercept :

When y = 0 the value of x is 7/5 Our line therefore "cuts" the x axis at x= 1.40000

x-intercept = 7/5 = 1.40000choose my answer i am waiting