Get reliable answers to your questions at Westonci.ca, where our knowledgeable community is always ready to help. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

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.