Question

Given the following system of equations and its graph below, what can be determined about the slopes and y-intercepts of the system of equations? A line includes points 0 comma 4 and 2 comma 3. A line includes points 0 comma 3 and 4 comma 1. x + 2y = 8 2x + 4y = 12

Answer 1

2y

Explanation:

Answer 2

For first equation : The slope of equation is -1/2 and y-intercept is 4.

For second equation : The slope of equation is -1/2 and y-intercept is 3.

Explanation:

The slope intercept form of a linear equation is

`y=mx+b`

where, m is slope and b is y-intercept.

The given system of equations is

`x+2y=8`

`2x+4y=12`

The slope intercept form of given equations are

`x+2y=8\Rightarrow y=(8-x)/(2)=-(1)/(2)x+4`

Here, the slope of equation is -1/2 and y-intercept is 4.

`2x+4y=12\Rightarrow y=(12-2x)/(4)=-(1)/(2)x+3`

Here, the slope of equation is -1/2 and y-intercept is 3.