What is the x and y intercept of this equation 12x+4y=24

y = 6, x = 2

Answer:y = 6, x = 2

Step-by-step explanation:Geometric figure: Straight Line

Slope = - 6.000/2.000 = - 3.000

x-intercept = 6/3 = 2

y-intercept = 6/1 = 6.00000

Rearrange:

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

12*x+4*y - (24) = 0

Step by step solution:

Step 1:

Pulling out like terms:

1.1 Pull out like factors:

12x + 4y - 24 = 4 • (3x + y - 6)

Equation at the end of step 1:

Step 2:

Equations which are never true:

2.1 Solve : 4 = 0

This equation has no solution.

A a non-zero constant never equals zero.

Equation of a Straight Line

2.2 Solve 3x+y-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 3x+y-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 6/1 so this line "cuts" the y axis at y = 6.00000

y-intercept = 6/1 = 6.00000

Calculate the X-Intercept:

When y = 0 the value of x is 2/1 Our line therefore "cuts" the x axis at x = 2.00000

x-intercept = 6/3 = 2

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 6.000 and for x=2.000, the value of y is - 0.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of - 0.000 - 6.000 = - 6.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

Slope = - 6.000/2.000 = - 3.000

Geometric figure: Straight Line

Slope = - 6.000/2.000 = - 3.000

x-intercept = 6/3 = 2

y-intercept = 6/1 = 6.00000