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

Answer:

2y

Step-by-step explanation:

Answer 2

Answer:

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.

Step-by-step 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

$x+2y=8\Rightarrow y=\dfrac{8-x}{2}=-\dfrac{1}{2}x+4$

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

$2x+4y=12\Rightarrow y=\dfrac{12-2x}{4}=-\dfrac{1}{2}x+3$

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