Question

Which graph represents the line
10x + 5y = 20?

Answer 1

10+5y=20
*Add 10x to each side
5y=20-10x
*Divide each side by 5
y=4-2x
y=-2x+4
*The -2 represents the slope, so for every 2 units it goes down, it moves to the right one unit
*The 4 represents the y-intercept (or where it crosses the y-axis)

Answer 2

Option 1.

Explanation:

The given equation of the line is 10x + 5y = 20

Now we will convert this equation into y-intercept form

10x + 5y = 20

5y = 20 - 10x

y =
`(1)/(5)` (20 _ 10x)

= -2x + 4

y-intercept of the line is 4 which gives us hint that graph (1) or (2) may be the correct option.

Since slope is (-2)

So from graph (1) slope of the line passing through (0,4) and (-2,0) =
`(4.0)/(0+2)` = 2

Therefore, graph A is not the answer.

For graph (2) slope of the graphed line passing through (0,4) and (2,0) =
`(4-0)/(0-2)` = (-2)

So graph (2) is representing the line y = -2x +4

Option 1. is the answer.