Ok last one, Find the x-intercept of the following equation. Simplify your answer.

4x + 13y = 6

x-intercept =

 x-intercept = 6/4 = 3/2 = 1.50000

Step-by-step explanation:

Rearrange:

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

                    4*x+13*y-(6)=0

Step 1: Equation of a Straight Line

Solve   4x+13y-6  = 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  4x+13y-6  = 0 and calculate its properties

Graph of a Straight Line :

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 6/13 so this line "cuts" the y axis at y= 0.46154

 y-intercept = 6/13  =  0.46154  

Calculate the X-Intercept :

When y = 0 the value of x is 3/2 Our line therefore "cuts" the x axis at x= 1.50000

 x-intercept = 6/4 = 3/2  =  1.50000  

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 0.462 and for x=2.000, the value of y is -0.154. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -0.154 - 0.462 = -0.615 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     = -0.615/2.000 = -0.308  

Geometric figure: Straight Line

 Slope = -0.615/2.000 = -0.308

 x-intercept = 6/4 = 3/2 = 1.50000

 y-intercept = 6/13 = 0.46154

6/20

step-by-step explanation:

7.25

step-by-step explanation:

we know that 7 equals to 7.0. we also know that 1/4=0.25. so we can add the two together and we get 7.25