Answered

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Can you explain step-by-step how to do numbers 3 and 4?

Can You Explain Stepbystep How To Do Numbers 3 And 4 class=

Sagot :

Given

Two points (-2, 1 ) and ( 2, 3 )

Find

Equation of a line in slope intercept form

Explanation

as, slope of a line passing two points is

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Now, we find slope of a line

[tex]m=\frac{3-1}{2-(-2)}=\frac{2}{4}=\frac{1}{2}[/tex]

Slope intercept form is

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

so,

[tex]\begin{gathered} y=\frac{1}{2}x+b \\ 1=\frac{1}{2}\times(-2)+b \\ 1=-1+b \\ 2=b \end{gathered}[/tex]

so, slope intercept form is

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

Final Answer

Slope intercept form is

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

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