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Write an equation of the line that passes through the points.

(0,1),(−2,−5)


Sagot :

Answer:

y=4/-2

Step-by-step explanation:

I think that is the answer

Answer:

[tex]y=3x+1[/tex]

Step-by-step explanation:

Given the following question:

Point A = (0, 1) = (x1, y1)
Point B = (-2, -5) = (x2, y2)

In order to find the answer, we must first find the slope of the two given points by using rise over run.

[tex]m=\frac{y2-y1}{x2-x1}[/tex]
[tex]m=\frac{-5-1}{-2-0}[/tex]
[tex]m=\frac{-5-1}{-2-0} =\frac{-6}{-2}[/tex]
[tex]=\frac{-6}{-2} =-6\div-2=3[/tex]
[tex]m=3[/tex]

Now that we know the slope, we can now write the equation in slope intercept form.

[tex]y=mx+b[/tex]
[tex]m=3[/tex]
[tex]y=1[/tex]
[tex]x=0[/tex]

Substitute:


[tex]1=3(0)+b[/tex]
[tex]3\times0=0[/tex]
[tex]1=b[/tex]
[tex]b=1[/tex]
[tex]y=3x+1[/tex]

Hope this helps.