Question

Using the slope and the y-intercept, graph the line represented by the following equation. Complete your work in the space provided or upload a file that can display math symbols if your work requires it. Include the graph of the linear equation, 2x - y + 4 = 0.

Answer 1

Answer: 12 plus 6

Explanation:

this is how you do it

Answer 2

see the explanation

The graph in the attached figure

Explanation:

we have

`2x-y+4=0`

This is the equation of the line in standard form

Convert to slope intercept form

`y=mx+b`

where

m is the slope

b is the y-intercept

Isolate the variable y

Adds y both sides

`2x-y+4+y=0+y`

`2x+4=y`

Rewrite

`y=2x+4`

therefore

the slope m is

`m=2`

`b=4`

The y-intercept is the point (0,4)

To graph a line we need two points

using the slope

The slope of (+2) tells us that for every unit increment (i.e. +1) of the x

value, the y value changes by ( +2)

we have the point (0,4)

so

For x=0+1=1 -----> y=4+2=6

therefore

we have the points (0,4) and (1,6)

Plotting these coordinates on the Cartesian plane and drawing a straight line

see the attached figure