HELP THIS IS DUE TODAY 3. Han wanted to find the intercepts of the graph of the equation 10x + 4y = 20. He
decided to put the equation in slope-intercept form first. Here is his work
10x + 4y = 20
4y = 20 - 10x
y = 5 - 10x
He concluded that the x-intercept is (,0) and the v-intercept is (0.5).
a. What error did Han make?

b. What are the x- and y-intercepts of the line? Explain or show your reasoning.

Slope=

2.000

5.000

​

=2.500

x−intercept=−

5

10

​

=−2

y−intercept=

2

10

​

=5

Step-by-step explanation:

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

                    10*x-4*y-(-20)=0

STEP

1

:

Pulling out like terms

1.1     Pull out like factors :

  10x - 4y + 20  =   2 • (5x - 2y + 10)

Equation at the end of step

1

:

STEP

2

:

Equations which are never true

2.1      Solve :    2   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Equation of a Straight Line

2.2     Solve   5x-2y+10  = 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-2y+10  = 0 and calculate its properties

Graph of a Straight Line :

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 5/1 so this line "cuts" the y axis at y= 5.00000

 y-intercept = 10/2  =  5

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 = -10/5  =  -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 5.000 and for x=2.000, the value of y is 10.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 10.000 - 5.000 = 5.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     =  5.000/2.000 =  2.500

Geometric figure: Straight Line

crown me pl

Step-by-step explanation:

if u dont mind

a

step-by-step explanation: