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.
