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6 Rearrange the linear equation so that it is in slope interceptform. Identify the slope (m) and the intercept (b). You must show your work for full credit
X-4=2(y - 3)

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Answer:

[tex]y=\frac{1}{2}x+1[/tex] is in the slope-intercept form.

so the slope will be:

  • [tex]m=\frac{1}{2}x[/tex]  

and y-intercept will be:

  • b = 1

Step-by-step explanation:

Given the equation

[tex]x-4=2(y - 3)[/tex]

As we know that [tex]y = mx+b[/tex] is the slope-intercept form of a line where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept.

Converting to slope-intercept form

[tex]x-4=2(y - 3)[/tex]

switching sides

[tex]2\left(y-3\right)=x-4[/tex]

[tex]2y-6=x-4[/tex]

[tex]2y=x-4+6[/tex]

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

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

As  [tex]y = mx+b[/tex] is the slope-intercept form of a line where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept.

Therefore, [tex]y=\frac{1}{2}x+1[/tex] is in the slope-intercept form.

so the slope will be:

  • [tex]m=\frac{1}{2}x[/tex]  

and y-intercept will be:

  • b = 1

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