ShriyaI210703 ShriyaI210703
  • 30-10-2022
  • Mathematics
contestada

write the equation of the line in slope intercept form, and graph using the slope and the y intercept x+4y=8

Respuesta :

KaleabH450365 KaleabH450365
  • 30-10-2022

Solution:

The general equation of a line in slope-intercept form is given below as

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

The equation of the line given is

[tex]x+4y=8[/tex]

Concept:

We will make y the subject of the formula

[tex]\begin{gathered} x+4y=8 \\ 4y+x-x=8-x \\ substract\text{ x from both sides} \\ 4y+x-x=8-x \\ 4y=8-x \\ divide\text{ bpoth sides by 4} \\ \frac{4y}{4}=-\frac{x}{4}+8 \\ y=-\frac{1}{4}x+2 \end{gathered}[/tex]

Hence,

The equation of the line in slope-intercept form is

[tex]\Rightarrow y=-\frac{1}{4}x+2[/tex]

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