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.

Question

08-05-2017
Mathematics

contestada

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.

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calculista calculista · Answer 1 · 2019-10-05T23:31:07+02:00

Answer:

see the explanation

The graph in the attached figure

Step-by-step explanation:

we have

[tex]2x-y+4=0[/tex]

This is the equation of the line in standard form

Convert to slope intercept form

[tex]y=mx+b[/tex]

where

m is the slope

b is the y-intercept

Isolate the variable y

Adds y both sides

[tex]2x-y+4+y=0+y[/tex]

[tex]2x+4=y[/tex]

Rewrite

[tex]y=2x+4[/tex]

therefore

the slope m is

[tex]m=2[/tex]

[tex]b=4[/tex]

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

snortelus1 snortelus1 · Answer 2 · 2021-07-12T21:48:19+02:00

snortelus1 snortelus1

12-07-2021

Answer: 12 plus 6

Step-by-step explanation:

this is how you do it

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